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Finding the Fourth Proportional to 4,466.97, 6,169.68 and 2,972.21

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Solution

The fourth proportional to 4,466.97, 6,169.68 and 2,972.21 is: 4,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,466.97 : 6,169.68 = 2,972.21 : x
  2. Step 2: Convert to fraction form
    4,466.97/6,169.68 = 2,972.21/x
  3. Step 3: Cross multiply
    4,466.97x = 6,169.68 × 2,972.21
  4. Step 4: Simplify right side
    4,466.97x = 18,337,553.74
  5. Step 5: Solve for x
    x = 18,337,553.74/4,466.97
  6. Step 6: Final answer
    x = 4,105.14

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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.