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Finding the Fourth Proportional to 3,909.35, 5,863.52 and 987.48

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Solution

The fourth proportional to 3,909.35, 5,863.52 and 987.48 is: 1,481.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.35 : 5,863.52 = 987.48 : x
  2. Step 2: Convert to fraction form
    3,909.35/5,863.52 = 987.48/x
  3. Step 3: Cross multiply
    3,909.35x = 5,863.52 × 987.48
  4. Step 4: Simplify right side
    3,909.35x = 5,790,103.79
  5. Step 5: Solve for x
    x = 5,790,103.79/3,909.35
  6. Step 6: Final answer
    x = 1,481.09

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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.