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Finding the Fourth Proportional to 5,934.96, 8,909.31 and 3,471.55

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Solution

The fourth proportional to 5,934.96, 8,909.31 and 3,471.55 is: 5,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.96 : 8,909.31 = 3,471.55 : x
  2. Step 2: Convert to fraction form
    5,934.96/8,909.31 = 3,471.55/x
  3. Step 3: Cross multiply
    5,934.96x = 8,909.31 × 3,471.55
  4. Step 4: Simplify right side
    5,934.96x = 30,929,105.88
  5. Step 5: Solve for x
    x = 30,929,105.88/5,934.96
  6. Step 6: Final answer
    x = 5,211.34

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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.