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Finding the Fourth Proportional to 5,909.12, 8,863.76 and 3,920.54

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Solution

The fourth proportional to 5,909.12, 8,863.76 and 3,920.54 is: 5,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.12 : 8,863.76 = 3,920.54 : x
  2. Step 2: Convert to fraction form
    5,909.12/8,863.76 = 3,920.54/x
  3. Step 3: Cross multiply
    5,909.12x = 8,863.76 × 3,920.54
  4. Step 4: Simplify right side
    5,909.12x = 34,750,691.11
  5. Step 5: Solve for x
    x = 34,750,691.11/5,909.12
  6. Step 6: Final answer
    x = 5,880.86

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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.