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Finding the Fourth Proportional to 3,787.52, 5,689.92 and 3,632

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Solution

The fourth proportional to 3,787.52, 5,689.92 and 3,632 is: 5,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.52 : 5,689.92 = 3,632 : x
  2. Step 2: Convert to fraction form
    3,787.52/5,689.92 = 3,632/x
  3. Step 3: Cross multiply
    3,787.52x = 5,689.92 × 3,632
  4. Step 4: Simplify right side
    3,787.52x = 20,665,789.44
  5. Step 5: Solve for x
    x = 20,665,789.44/3,787.52
  6. Step 6: Final answer
    x = 5,456.29

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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.