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Finding the Fourth Proportional to 3,488.73, 4,812.05 and 2,229.22

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Solution

The fourth proportional to 3,488.73, 4,812.05 and 2,229.22 is: 3,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.73 : 4,812.05 = 2,229.22 : x
  2. Step 2: Convert to fraction form
    3,488.73/4,812.05 = 2,229.22/x
  3. Step 3: Cross multiply
    3,488.73x = 4,812.05 × 2,229.22
  4. Step 4: Simplify right side
    3,488.73x = 10,727,112.97
  5. Step 5: Solve for x
    x = 10,727,112.97/3,488.73
  6. Step 6: Final answer
    x = 3,074.79

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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.