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Finding the Fourth Proportional to 3,737.52, 5,607.18 and 1,140.47

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Solution

The fourth proportional to 3,737.52, 5,607.18 and 1,140.47 is: 1,710.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.52 : 5,607.18 = 1,140.47 : x
  2. Step 2: Convert to fraction form
    3,737.52/5,607.18 = 1,140.47/x
  3. Step 3: Cross multiply
    3,737.52x = 5,607.18 × 1,140.47
  4. Step 4: Simplify right side
    3,737.52x = 6,394,792.54
  5. Step 5: Solve for x
    x = 6,394,792.54/3,737.52
  6. Step 6: Final answer
    x = 1,710.97

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Why These Related Problems?

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