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Finding the Fourth Proportional to 4,472.70, 6,170.17 and 3,147.13

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Solution

The fourth proportional to 4,472.70, 6,170.17 and 3,147.13 is: 4,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.70 : 6,170.17 = 3,147.13 : x
  2. Step 2: Convert to fraction form
    4,472.70/6,170.17 = 3,147.13/x
  3. Step 3: Cross multiply
    4,472.70x = 6,170.17 × 3,147.13
  4. Step 4: Simplify right side
    4,472.70x = 19,418,327.11
  5. Step 5: Solve for x
    x = 19,418,327.11/4,472.70
  6. Step 6: Final answer
    x = 4,341.52

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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.