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Finding the Fourth Proportional to 5,713.43, 8,571.21 and 2,593.65

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Solution

The fourth proportional to 5,713.43, 8,571.21 and 2,593.65 is: 3,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.43 : 8,571.21 = 2,593.65 : x
  2. Step 2: Convert to fraction form
    5,713.43/8,571.21 = 2,593.65/x
  3. Step 3: Cross multiply
    5,713.43x = 8,571.21 × 2,593.65
  4. Step 4: Simplify right side
    5,713.43x = 22,230,759.47
  5. Step 5: Solve for x
    x = 22,230,759.47/5,713.43
  6. Step 6: Final answer
    x = 3,890.97

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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.