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Finding the Fourth Proportional to 3,694.56, 5,540.88 and 1,229.28

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Solution

The fourth proportional to 3,694.56, 5,540.88 and 1,229.28 is: 1,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.56 : 5,540.88 = 1,229.28 : x
  2. Step 2: Convert to fraction form
    3,694.56/5,540.88 = 1,229.28/x
  3. Step 3: Cross multiply
    3,694.56x = 5,540.88 × 1,229.28
  4. Step 4: Simplify right side
    3,694.56x = 6,811,292.97
  5. Step 5: Solve for x
    x = 6,811,292.97/3,694.56
  6. Step 6: Final answer
    x = 1,843.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.