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Finding the Fourth Proportional to 3,732.55, 5,151.16 and 2,471.41

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Solution

The fourth proportional to 3,732.55, 5,151.16 and 2,471.41 is: 3,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.55 : 5,151.16 = 2,471.41 : x
  2. Step 2: Convert to fraction form
    3,732.55/5,151.16 = 2,471.41/x
  3. Step 3: Cross multiply
    3,732.55x = 5,151.16 × 2,471.41
  4. Step 4: Simplify right side
    3,732.55x = 12,730,637.86
  5. Step 5: Solve for x
    x = 12,730,637.86/3,732.55
  6. Step 6: Final answer
    x = 3,410.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.