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Finding the Fourth Proportional to 5,149.50, 7,723.89 and 2,685.71

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Solution

The fourth proportional to 5,149.50, 7,723.89 and 2,685.71 is: 4,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.50 : 7,723.89 = 2,685.71 : x
  2. Step 2: Convert to fraction form
    5,149.50/7,723.89 = 2,685.71/x
  3. Step 3: Cross multiply
    5,149.50x = 7,723.89 × 2,685.71
  4. Step 4: Simplify right side
    5,149.50x = 20,744,089.99
  5. Step 5: Solve for x
    x = 20,744,089.99/5,149.50
  6. Step 6: Final answer
    x = 4,028.37

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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.