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Finding the Fourth Proportional to 5,758.47, 7,947.33 and 3,240.66

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Solution

The fourth proportional to 5,758.47, 7,947.33 and 3,240.66 is: 4,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.47 : 7,947.33 = 3,240.66 : x
  2. Step 2: Convert to fraction form
    5,758.47/7,947.33 = 3,240.66/x
  3. Step 3: Cross multiply
    5,758.47x = 7,947.33 × 3,240.66
  4. Step 4: Simplify right side
    5,758.47x = 25,754,594.44
  5. Step 5: Solve for x
    x = 25,754,594.44/5,758.47
  6. Step 6: Final answer
    x = 4,472.47

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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.