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Finding the Fourth Proportional to 5,757.28, 7,946.30 and 3,764.56

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Solution

The fourth proportional to 5,757.28, 7,946.30 and 3,764.56 is: 5,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.28 : 7,946.30 = 3,764.56 : x
  2. Step 2: Convert to fraction form
    5,757.28/7,946.30 = 3,764.56/x
  3. Step 3: Cross multiply
    5,757.28x = 7,946.30 × 3,764.56
  4. Step 4: Simplify right side
    5,757.28x = 29,914,323.13
  5. Step 5: Solve for x
    x = 29,914,323.13/5,757.28
  6. Step 6: Final answer
    x = 5,195.91

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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.