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Finding the Fourth Proportional to 3,982.31, 5,493.19 and 2,565.53

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Solution

The fourth proportional to 3,982.31, 5,493.19 and 2,565.53 is: 3,538.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.31 : 5,493.19 = 2,565.53 : x
  2. Step 2: Convert to fraction form
    3,982.31/5,493.19 = 2,565.53/x
  3. Step 3: Cross multiply
    3,982.31x = 5,493.19 × 2,565.53
  4. Step 4: Simplify right side
    3,982.31x = 14,092,943.74
  5. Step 5: Solve for x
    x = 14,092,943.74/3,982.31
  6. Step 6: Final answer
    x = 3,538.89

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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.