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Finding the Fourth Proportional to 5,757.06, 7,944.57 and 3,239.31

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Solution

The fourth proportional to 5,757.06, 7,944.57 and 3,239.31 is: 4,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.06 : 7,944.57 = 3,239.31 : x
  2. Step 2: Convert to fraction form
    5,757.06/7,944.57 = 3,239.31/x
  3. Step 3: Cross multiply
    5,757.06x = 7,944.57 × 3,239.31
  4. Step 4: Simplify right side
    5,757.06x = 25,734,925.05
  5. Step 5: Solve for x
    x = 25,734,925.05/5,757.06
  6. Step 6: Final answer
    x = 4,470.15

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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.