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Finding the Fourth Proportional to 3,909.52, 5,864.25 and 987.82

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Solution

The fourth proportional to 3,909.52, 5,864.25 and 987.82 is: 1,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.52 : 5,864.25 = 987.82 : x
  2. Step 2: Convert to fraction form
    3,909.52/5,864.25 = 987.82/x
  3. Step 3: Cross multiply
    3,909.52x = 5,864.25 × 987.82
  4. Step 4: Simplify right side
    3,909.52x = 5,792,823.44
  5. Step 5: Solve for x
    x = 5,792,823.44/3,909.52
  6. Step 6: Final answer
    x = 1,481.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.