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Finding the Fourth Proportional to 3,694.84, 5,542.49 and 1,229.88

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Solution

The fourth proportional to 3,694.84, 5,542.49 and 1,229.88 is: 1,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.84 : 5,542.49 = 1,229.88 : x
  2. Step 2: Convert to fraction form
    3,694.84/5,542.49 = 1,229.88/x
  3. Step 3: Cross multiply
    3,694.84x = 5,542.49 × 1,229.88
  4. Step 4: Simplify right side
    3,694.84x = 6,816,597.60
  5. Step 5: Solve for x
    x = 6,816,597.60/3,694.84
  6. Step 6: Final answer
    x = 1,844.90

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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.