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Finding the Fourth Proportional to 5,909.20, 8,863.80 and 3,446.80

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Solution

The fourth proportional to 5,909.20, 8,863.80 and 3,446.80 is: 5,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.20 : 8,863.80 = 3,446.80 : x
  2. Step 2: Convert to fraction form
    5,909.20/8,863.80 = 3,446.80/x
  3. Step 3: Cross multiply
    5,909.20x = 8,863.80 × 3,446.80
  4. Step 4: Simplify right side
    5,909.20x = 30,551,745.84
  5. Step 5: Solve for x
    x = 30,551,745.84/5,909.20
  6. Step 6: Final answer
    x = 5,170.20

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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.