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Finding the Fourth Proportional to 3,489.18, 4,812.51 and 2,229.22

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Solution

The fourth proportional to 3,489.18, 4,812.51 and 2,229.22 is: 3,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.18 : 4,812.51 = 2,229.22 : x
  2. Step 2: Convert to fraction form
    3,489.18/4,812.51 = 2,229.22/x
  3. Step 3: Cross multiply
    3,489.18x = 4,812.51 × 2,229.22
  4. Step 4: Simplify right side
    3,489.18x = 10,728,143.54
  5. Step 5: Solve for x
    x = 10,728,143.54/3,489.18
  6. Step 6: Final answer
    x = 3,074.69

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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.