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Finding the Fourth Proportional to 3,909.16, 5,863.69 and 987.45

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Solution

The fourth proportional to 3,909.16, 5,863.69 and 987.45 is: 1,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.16 : 5,863.69 = 987.45 : x
  2. Step 2: Convert to fraction form
    3,909.16/5,863.69 = 987.45/x
  3. Step 3: Cross multiply
    3,909.16x = 5,863.69 × 987.45
  4. Step 4: Simplify right side
    3,909.16x = 5,790,100.69
  5. Step 5: Solve for x
    x = 5,790,100.69/3,909.16
  6. Step 6: Final answer
    x = 1,481.16

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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.