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Finding the Fourth Proportional to 5,756.82, 7,944.66 and 3,239.34

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Solution

The fourth proportional to 5,756.82, 7,944.66 and 3,239.34 is: 4,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.82 : 7,944.66 = 3,239.34 : x
  2. Step 2: Convert to fraction form
    5,756.82/7,944.66 = 3,239.34/x
  3. Step 3: Cross multiply
    5,756.82x = 7,944.66 × 3,239.34
  4. Step 4: Simplify right side
    5,756.82x = 25,735,454.92
  5. Step 5: Solve for x
    x = 25,735,454.92/5,756.82
  6. Step 6: Final answer
    x = 4,470.43

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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.