diff --git a/TUnit.Assertions.Tests/Bugs/Tests3367.cs b/TUnit.Assertions.Tests/Bugs/Tests3367.cs
new file mode 100644
index 0000000000..6b22e3e2c8
--- /dev/null
+++ b/TUnit.Assertions.Tests/Bugs/Tests3367.cs
@@ -0,0 +1,84 @@
+using TUnit.Assertions.Enums;
+
+namespace TUnit.Assertions.Tests.Bugs;
+
+public class Tests3367
+{
+    /// <summary>
+    /// Custom comparer for doubles with tolerance.
+    /// Note: This comparer intentionally does NOT implement GetHashCode correctly
+    /// for tolerance-based equality, which is extremely difficult to do correctly.
+    /// TUnit should handle this gracefully.
+    /// </summary>
+    public class DoubleComparer(double tolerance) : IEqualityComparer<double>
+    {
+        private readonly double _tolerance = tolerance;
+
+        public bool Equals(double x, double y) => Math.Abs(x - y) <= _tolerance;
+
+        public int GetHashCode(double obj) => obj.GetHashCode();
+    }
+
+    [Test]
+    public async Task IsEquivalentTo_WithCustomComparer_SingleElement_ShouldSucceed()
+    {
+        // Arrange
+        var comparer = new DoubleComparer(0.0001);
+        double value1 = 0.29999999999999999;
+        double value2 = 0.30000000000000004;
+
+        // Act & Assert - single element comparison works
+        await TUnitAssert.That(comparer.Equals(value1, value2)).IsTrue();
+    }
+
+    [Test]
+    public async Task IsEquivalentTo_WithCustomComparer_Array_ShouldSucceed()
+    {
+        // Arrange
+        var comparer = new DoubleComparer(0.0001);
+        double[] array1 = [0.1, 0.2, 0.29999999999999999];
+        double[] array2 = [0.1, 0.2, 0.30000000000000004];
+
+        // Act & Assert - array comparison should work with custom comparer
+        await TUnitAssert.That(array1).IsEquivalentTo(array2).Using(comparer);
+    }
+
+    [Test]
+    public async Task IsEquivalentTo_WithCustomComparer_Array_DifferentOrder_ShouldSucceed()
+    {
+        // Arrange
+        var comparer = new DoubleComparer(0.0001);
+        double[] array1 = [0.1, 0.29999999999999999, 0.2];
+        double[] array2 = [0.2, 0.1, 0.30000000000000004];
+
+        // Act & Assert - should work regardless of order
+        await TUnitAssert.That(array1).IsEquivalentTo(array2, CollectionOrdering.Any).Using(comparer);
+    }
+
+    [Test]
+    public async Task IsEquivalentTo_WithCustomComparer_Array_NotEquivalent_ShouldFail()
+    {
+        // Arrange
+        var comparer = new DoubleComparer(0.0001);
+        double[] array1 = [0.1, 0.2, 0.3];
+        double[] array2 = [0.1, 0.2, 0.5]; // 0.5 is not within tolerance of 0.3
+
+        // Act & Assert - should fail when values are not within tolerance
+        var exception = await TUnitAssert.ThrowsAsync<TUnitAssertionException>(
+            async () => await TUnitAssert.That(array1).IsEquivalentTo(array2).Using(comparer));
+
+        await TUnitAssert.That(exception).IsNotNull();
+    }
+
+    [Test]
+    public async Task IsEquivalentTo_WithCustomComparer_DuplicateValues_ShouldSucceed()
+    {
+        // Arrange
+        var comparer = new DoubleComparer(0.0001);
+        double[] array1 = [0.1, 0.2, 0.2, 0.3];
+        double[] array2 = [0.1, 0.20000000000000001, 0.19999999999999999, 0.30000000000000004];
+
+        // Act & Assert - should handle duplicates correctly
+        await TUnitAssert.That(array1).IsEquivalentTo(array2, CollectionOrdering.Any).Using(comparer);
+    }
+}
diff --git a/TUnit.Assertions.Tests/Old/EquivalentAssertionTests.cs b/TUnit.Assertions.Tests/Old/EquivalentAssertionTests.cs
index c6ec270139..2fedf9fedd 100644
--- a/TUnit.Assertions.Tests/Old/EquivalentAssertionTests.cs
+++ b/TUnit.Assertions.Tests/Old/EquivalentAssertionTests.cs
@@ -95,7 +95,7 @@ public async Task Different_Dictionaries_Are_Equivalent_With_Different_Ordered_K
             { "A", "A" },
         };
 
-        await TUnitAssert.That(dict1).IsEquivalentTo(dict2);
+        await TUnitAssert.That(dict1).IsEquivalentTo(dict2, CollectionOrdering.Any);
     }
 
     [Test]
diff --git a/TUnit.Assertions/Conditions/IsEquivalentToAssertion.cs b/TUnit.Assertions/Conditions/IsEquivalentToAssertion.cs
index f3873dc662..c2597c0209 100644
--- a/TUnit.Assertions/Conditions/IsEquivalentToAssertion.cs
+++ b/TUnit.Assertions/Conditions/IsEquivalentToAssertion.cs
@@ -19,7 +19,7 @@ public class IsEquivalentToAssertion<TCollection, TItem> : Assertion<TCollection
     public IsEquivalentToAssertion(
         AssertionContext<TCollection> context,
         IEnumerable<TItem> expected,
-        CollectionOrdering ordering = CollectionOrdering.Any)
+        CollectionOrdering ordering = CollectionOrdering.Matching)
         : base(context)
     {
         _expected = expected ?? throw new ArgumentNullException(nameof(expected));
@@ -82,7 +82,50 @@ protected override Task<AssertionResult> CheckAsync(EvaluationMetadata<TCollecti
         }
 
         // Otherwise, use frequency map for unordered comparison (CollectionOrdering.Any)
-        // Build a frequency map of actual items - O(n)
+
+        // When using a custom comparer, we use a linear search approach because:
+        // 1. Custom comparers (especially tolerance-based ones for floating-point) often cannot
+        //    implement GetHashCode correctly (equal items MUST have same hash code)
+        // 2. Dictionary lookups rely on both GetHashCode and Equals, which fails with broken hash codes
+        // 3. Linear search is more forgiving and aligns with user expectations for custom comparers
+        var isCustomComparer = _comparer != null;
+
+        if (isCustomComparer)
+        {
+            // Use linear search for custom comparers - O(n²) but correct
+            var remainingActual = new List<TItem>(actualList);
+
+            foreach (var expectedItem in expectedList)
+            {
+                var foundIndex = -1;
+                for (int i = 0; i < remainingActual.Count; i++)
+                {
+                    var actualItem = remainingActual[i];
+
+                    bool areEqual = expectedItem == null && actualItem == null ||
+                                   expectedItem != null && actualItem != null && comparer.Equals(expectedItem, actualItem);
+
+                    if (areEqual)
+                    {
+                        foundIndex = i;
+                        break;
+                    }
+                }
+
+                if (foundIndex == -1)
+                {
+                    return Task.FromResult(AssertionResult.Failed(
+                        $"collection does not contain expected item: {expectedItem}"));
+                }
+
+                remainingActual.RemoveAt(foundIndex);
+            }
+
+            return Task.FromResult(AssertionResult.Passed);
+        }
+
+        // Use efficient Dictionary-based frequency map for default comparer - O(n)
+        // Build a frequency map of actual items
         // Track null count separately to avoid Dictionary<TKey> notnull constraint
         int nullCount = 0;
 #pragma warning disable CS8714 // Nullability of type argument doesn't match 'notnull' constraint - we handle nulls separately
diff --git a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet10_0.verified.txt b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet10_0.verified.txt
index 1d47957be5..c01ff4e910 100644
--- a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet10_0.verified.txt
+++ b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet10_0.verified.txt
@@ -861,7 +861,7 @@ namespace .Conditions
     public class IsEquivalentToAssertion<TCollection, TItem> : .<TCollection>
         where TCollection : .<TItem>
     {
-        public IsEquivalentToAssertion(.<TCollection> context, .<TItem> expected, . ordering = 0) { }
+        public IsEquivalentToAssertion(.<TCollection> context, .<TItem> expected, . ordering = 1) { }
         protected override .<.> CheckAsync(.<TCollection> metadata) { }
         protected override string GetExpectation() { }
         public .<TCollection, TItem> Using(.<TItem> comparer) { }
diff --git a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet8_0.verified.txt b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet8_0.verified.txt
index f14350f52a..5435185072 100644
--- a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet8_0.verified.txt
+++ b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet8_0.verified.txt
@@ -861,7 +861,7 @@ namespace .Conditions
     public class IsEquivalentToAssertion<TCollection, TItem> : .<TCollection>
         where TCollection : .<TItem>
     {
-        public IsEquivalentToAssertion(.<TCollection> context, .<TItem> expected, . ordering = 0) { }
+        public IsEquivalentToAssertion(.<TCollection> context, .<TItem> expected, . ordering = 1) { }
         protected override .<.> CheckAsync(.<TCollection> metadata) { }
         protected override string GetExpectation() { }
         public .<TCollection, TItem> Using(.<TItem> comparer) { }
diff --git a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet9_0.verified.txt b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet9_0.verified.txt
index 8d7aa05390..ae6311651f 100644
--- a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet9_0.verified.txt
+++ b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.DotNet9_0.verified.txt
@@ -861,7 +861,7 @@ namespace .Conditions
     public class IsEquivalentToAssertion<TCollection, TItem> : .<TCollection>
         where TCollection : .<TItem>
     {
-        public IsEquivalentToAssertion(.<TCollection> context, .<TItem> expected, . ordering = 0) { }
+        public IsEquivalentToAssertion(.<TCollection> context, .<TItem> expected, . ordering = 1) { }
         protected override .<.> CheckAsync(.<TCollection> metadata) { }
         protected override string GetExpectation() { }
         public .<TCollection, TItem> Using(.<TItem> comparer) { }
diff --git a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.Net4_7.verified.txt b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.Net4_7.verified.txt
index 9023e92f6f..4ed2e80a9e 100644
--- a/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.Net4_7.verified.txt
+++ b/TUnit.PublicAPI/Tests.Assertions_Library_Has_No_API_Changes.Net4_7.verified.txt
@@ -821,7 +821,7 @@ namespace .Conditions
     public class IsEquivalentToAssertion<TCollection, TItem> : .<TCollection>
         where TCollection : .<TItem>
     {
-        public IsEquivalentToAssertion(.<TCollection> context, .<TItem> expected, . ordering = 0) { }
+        public IsEquivalentToAssertion(.<TCollection> context, .<TItem> expected, . ordering = 1) { }
         protected override .<.> CheckAsync(.<TCollection> metadata) { }
         protected override string GetExpectation() { }
         public .<TCollection, TItem> Using(.<TItem> comparer) { }