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Finding the Fourth Proportional to 4,472.38, 6,172.67 and 2,794.87

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Solution

The fourth proportional to 4,472.38, 6,172.67 and 2,794.87 is: 3,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.38 : 6,172.67 = 2,794.87 : x
  2. Step 2: Convert to fraction form
    4,472.38/6,172.67 = 2,794.87/x
  3. Step 3: Cross multiply
    4,472.38x = 6,172.67 × 2,794.87
  4. Step 4: Simplify right side
    4,472.38x = 17,251,824.91
  5. Step 5: Solve for x
    x = 17,251,824.91/4,472.38
  6. Step 6: Final answer
    x = 3,857.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.