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Finding the Fourth Proportional to 3,732.38, 5,593.78 and 1,542.65

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Solution

The fourth proportional to 3,732.38, 5,593.78 and 1,542.65 is: 2,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.38 : 5,593.78 = 1,542.65 : x
  2. Step 2: Convert to fraction form
    3,732.38/5,593.78 = 1,542.65/x
  3. Step 3: Cross multiply
    3,732.38x = 5,593.78 × 1,542.65
  4. Step 4: Simplify right side
    3,732.38x = 8,629,244.72
  5. Step 5: Solve for x
    x = 8,629,244.72/3,732.38
  6. Step 6: Final answer
    x = 2,312.00

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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.