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Finding the Fourth Proportional to 5,757.85, 7,945.25 and 3,239.90

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Solution

The fourth proportional to 5,757.85, 7,945.25 and 3,239.90 is: 4,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.85 : 7,945.25 = 3,239.90 : x
  2. Step 2: Convert to fraction form
    5,757.85/7,945.25 = 3,239.90/x
  3. Step 3: Cross multiply
    5,757.85x = 7,945.25 × 3,239.90
  4. Step 4: Simplify right side
    5,757.85x = 25,741,783.85
  5. Step 5: Solve for x
    x = 25,741,783.85/5,757.85
  6. Step 6: Final answer
    x = 4,470.73

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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.