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Finding the Fourth Proportional to 3,489.80, 4,815.78 and 2,229.08

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Solution

The fourth proportional to 3,489.80, 4,815.78 and 2,229.08 is: 3,076.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.80 : 4,815.78 = 2,229.08 : x
  2. Step 2: Convert to fraction form
    3,489.80/4,815.78 = 2,229.08/x
  3. Step 3: Cross multiply
    3,489.80x = 4,815.78 × 2,229.08
  4. Step 4: Simplify right side
    3,489.80x = 10,734,758.88
  5. Step 5: Solve for x
    x = 10,734,758.88/3,489.80
  6. Step 6: Final answer
    x = 3,076.04

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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.