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Finding the Fourth Proportional to 5,709.56, 8,517.62 and 5,550.80

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Solution

The fourth proportional to 5,709.56, 8,517.62 and 5,550.80 is: 8,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.56 : 8,517.62 = 5,550.80 : x
  2. Step 2: Convert to fraction form
    5,709.56/8,517.62 = 5,550.80/x
  3. Step 3: Cross multiply
    5,709.56x = 8,517.62 × 5,550.80
  4. Step 4: Simplify right side
    5,709.56x = 47,279,605.10
  5. Step 5: Solve for x
    x = 47,279,605.10/5,709.56
  6. Step 6: Final answer
    x = 8,280.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.