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Finding the Fourth Proportional to 3,727.65, 5,144.17 and 2,049.23

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Solution

The fourth proportional to 3,727.65, 5,144.17 and 2,049.23 is: 2,827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.65 : 5,144.17 = 2,049.23 : x
  2. Step 2: Convert to fraction form
    3,727.65/5,144.17 = 2,049.23/x
  3. Step 3: Cross multiply
    3,727.65x = 5,144.17 × 2,049.23
  4. Step 4: Simplify right side
    3,727.65x = 10,541,551.52
  5. Step 5: Solve for x
    x = 10,541,551.52/3,727.65
  6. Step 6: Final answer
    x = 2,827.93

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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.