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Finding the Fourth Proportional to 3,727.78, 5,144.24 and 2,049.19

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Solution

The fourth proportional to 3,727.78, 5,144.24 and 2,049.19 is: 2,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.78 : 5,144.24 = 2,049.19 : x
  2. Step 2: Convert to fraction form
    3,727.78/5,144.24 = 2,049.19/x
  3. Step 3: Cross multiply
    3,727.78x = 5,144.24 × 2,049.19
  4. Step 4: Simplify right side
    3,727.78x = 10,541,517.43
  5. Step 5: Solve for x
    x = 10,541,517.43/3,727.78
  6. Step 6: Final answer
    x = 2,827.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.