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Finding the Fourth Proportional to 4,149.57, 5,732.90 and 3,526.61

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Solution

The fourth proportional to 4,149.57, 5,732.90 and 3,526.61 is: 4,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.57 : 5,732.90 = 3,526.61 : x
  2. Step 2: Convert to fraction form
    4,149.57/5,732.90 = 3,526.61/x
  3. Step 3: Cross multiply
    4,149.57x = 5,732.90 × 3,526.61
  4. Step 4: Simplify right side
    4,149.57x = 20,217,727.69
  5. Step 5: Solve for x
    x = 20,217,727.69/4,149.57
  6. Step 6: Final answer
    x = 4,872.25

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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.