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Finding the Fourth Proportional to 3,901.38, 5,856.57 and 3,082.38

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Solution

The fourth proportional to 3,901.38, 5,856.57 and 3,082.38 is: 4,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.38 : 5,856.57 = 3,082.38 : x
  2. Step 2: Convert to fraction form
    3,901.38/5,856.57 = 3,082.38/x
  3. Step 3: Cross multiply
    3,901.38x = 5,856.57 × 3,082.38
  4. Step 4: Simplify right side
    3,901.38x = 18,052,174.24
  5. Step 5: Solve for x
    x = 18,052,174.24/3,901.38
  6. Step 6: Final answer
    x = 4,627.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.