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Finding the Fourth Proportional to 3,992.82, 5,502.49 and 2,871.78

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Solution

The fourth proportional to 3,992.82, 5,502.49 and 2,871.78 is: 3,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.82 : 5,502.49 = 2,871.78 : x
  2. Step 2: Convert to fraction form
    3,992.82/5,502.49 = 2,871.78/x
  3. Step 3: Cross multiply
    3,992.82x = 5,502.49 × 2,871.78
  4. Step 4: Simplify right side
    3,992.82x = 15,801,940.73
  5. Step 5: Solve for x
    x = 15,801,940.73/3,992.82
  6. Step 6: Final answer
    x = 3,957.59

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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.