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Finding the Fourth Proportional to 5,757.62, 7,945.90 and 3,239.93

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Solution

The fourth proportional to 5,757.62, 7,945.90 and 3,239.93 is: 4,471.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.62 : 7,945.90 = 3,239.93 : x
  2. Step 2: Convert to fraction form
    5,757.62/7,945.90 = 3,239.93/x
  3. Step 3: Cross multiply
    5,757.62x = 7,945.90 × 3,239.93
  4. Step 4: Simplify right side
    5,757.62x = 25,744,171.55
  5. Step 5: Solve for x
    x = 25,744,171.55/5,757.62
  6. Step 6: Final answer
    x = 4,471.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.