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Finding the Fourth Proportional to 3,737.73, 5,600.42 and 1,654.62

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Solution

The fourth proportional to 3,737.73, 5,600.42 and 1,654.62 is: 2,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.73 : 5,600.42 = 1,654.62 : x
  2. Step 2: Convert to fraction form
    3,737.73/5,600.42 = 1,654.62/x
  3. Step 3: Cross multiply
    3,737.73x = 5,600.42 × 1,654.62
  4. Step 4: Simplify right side
    3,737.73x = 9,266,566.94
  5. Step 5: Solve for x
    x = 9,266,566.94/3,737.73
  6. Step 6: Final answer
    x = 2,479.20

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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.