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Finding the Fourth Proportional to 3,727.62, 5,144.23 and 2,049.10

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Solution

The fourth proportional to 3,727.62, 5,144.23 and 2,049.10 is: 2,827.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.62 : 5,144.23 = 2,049.10 : x
  2. Step 2: Convert to fraction form
    3,727.62/5,144.23 = 2,049.10/x
  3. Step 3: Cross multiply
    3,727.62x = 5,144.23 × 2,049.10
  4. Step 4: Simplify right side
    3,727.62x = 10,541,037.16
  5. Step 5: Solve for x
    x = 10,541,037.16/3,727.62
  6. Step 6: Final answer
    x = 2,827.82

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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.