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Finding the Fourth Proportional to 4,472.57, 6,706.67 and 1,351.97

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Solution

The fourth proportional to 4,472.57, 6,706.67 and 1,351.97 is: 2,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.57 : 6,706.67 = 1,351.97 : x
  2. Step 2: Convert to fraction form
    4,472.57/6,706.67 = 1,351.97/x
  3. Step 3: Cross multiply
    4,472.57x = 6,706.67 × 1,351.97
  4. Step 4: Simplify right side
    4,472.57x = 9,067,216.64
  5. Step 5: Solve for x
    x = 9,067,216.64/4,472.57
  6. Step 6: Final answer
    x = 2,027.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.