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Finding the Fourth Proportional to 5,489.80, 8,234.67 and 2,202.85

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Solution

The fourth proportional to 5,489.80, 8,234.67 and 2,202.85 is: 3,304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.80 : 8,234.67 = 2,202.85 : x
  2. Step 2: Convert to fraction form
    5,489.80/8,234.67 = 2,202.85/x
  3. Step 3: Cross multiply
    5,489.80x = 8,234.67 × 2,202.85
  4. Step 4: Simplify right side
    5,489.80x = 18,139,742.81
  5. Step 5: Solve for x
    x = 18,139,742.81/5,489.80
  6. Step 6: Final answer
    x = 3,304.26

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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.