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Finding the Fourth Proportional to 5,122.92, 7,685.34 and 2,200.68

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Solution

The fourth proportional to 5,122.92, 7,685.34 and 2,200.68 is: 3,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.92 : 7,685.34 = 2,200.68 : x
  2. Step 2: Convert to fraction form
    5,122.92/7,685.34 = 2,200.68/x
  3. Step 3: Cross multiply
    5,122.92x = 7,685.34 × 2,200.68
  4. Step 4: Simplify right side
    5,122.92x = 16,912,974.03
  5. Step 5: Solve for x
    x = 16,912,974.03/5,122.92
  6. Step 6: Final answer
    x = 3,301.43

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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.