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Finding the Fourth Proportional to 5,609.70, 8,414.55 and 5,245.20

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Solution

The fourth proportional to 5,609.70, 8,414.55 and 5,245.20 is: 7,867.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.70 : 8,414.55 = 5,245.20 : x
  2. Step 2: Convert to fraction form
    5,609.70/8,414.55 = 5,245.20/x
  3. Step 3: Cross multiply
    5,609.70x = 8,414.55 × 5,245.20
  4. Step 4: Simplify right side
    5,609.70x = 44,135,997.66
  5. Step 5: Solve for x
    x = 44,135,997.66/5,609.70
  6. Step 6: Final answer
    x = 7,867.80

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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.