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Finding the Fourth Proportional to 5,756.46, 7,944.20 and 3,239.36

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Solution

The fourth proportional to 5,756.46, 7,944.20 and 3,239.36 is: 4,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.46 : 7,944.20 = 3,239.36 : x
  2. Step 2: Convert to fraction form
    5,756.46/7,944.20 = 3,239.36/x
  3. Step 3: Cross multiply
    5,756.46x = 7,944.20 × 3,239.36
  4. Step 4: Simplify right side
    5,756.46x = 25,734,123.71
  5. Step 5: Solve for x
    x = 25,734,123.71/5,756.46
  6. Step 6: Final answer
    x = 4,470.48

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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.