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Finding the Fourth Proportional to 3,797.25, 5,691.62 and 2,869.80

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Solution

The fourth proportional to 3,797.25, 5,691.62 and 2,869.80 is: 4,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.25 : 5,691.62 = 2,869.80 : x
  2. Step 2: Convert to fraction form
    3,797.25/5,691.62 = 2,869.80/x
  3. Step 3: Cross multiply
    3,797.25x = 5,691.62 × 2,869.80
  4. Step 4: Simplify right side
    3,797.25x = 16,333,796.73
  5. Step 5: Solve for x
    x = 16,333,796.73/3,797.25
  6. Step 6: Final answer
    x = 4,301.48

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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.