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Finding the Fourth Proportional to 4,038.46, 6,028.22 and 3,546.38

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Solution

The fourth proportional to 4,038.46, 6,028.22 and 3,546.38 is: 5,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.46 : 6,028.22 = 3,546.38 : x
  2. Step 2: Convert to fraction form
    4,038.46/6,028.22 = 3,546.38/x
  3. Step 3: Cross multiply
    4,038.46x = 6,028.22 × 3,546.38
  4. Step 4: Simplify right side
    4,038.46x = 21,378,382.78
  5. Step 5: Solve for x
    x = 21,378,382.78/4,038.46
  6. Step 6: Final answer
    x = 5,293.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.