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Finding the Fourth Proportional to 3,727.87, 5,592.49 and 1,229.20

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Solution

The fourth proportional to 3,727.87, 5,592.49 and 1,229.20 is: 1,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.87 : 5,592.49 = 1,229.20 : x
  2. Step 2: Convert to fraction form
    3,727.87/5,592.49 = 1,229.20/x
  3. Step 3: Cross multiply
    3,727.87x = 5,592.49 × 1,229.20
  4. Step 4: Simplify right side
    3,727.87x = 6,874,299.62
  5. Step 5: Solve for x
    x = 6,874,299.62/3,727.87
  6. Step 6: Final answer
    x = 1,844.03

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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.