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Finding the Fourth Proportional to 3,449.57, 5,175.70 and 1,987.92

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Solution

The fourth proportional to 3,449.57, 5,175.70 and 1,987.92 is: 2,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.57 : 5,175.70 = 1,987.92 : x
  2. Step 2: Convert to fraction form
    3,449.57/5,175.70 = 1,987.92/x
  3. Step 3: Cross multiply
    3,449.57x = 5,175.70 × 1,987.92
  4. Step 4: Simplify right side
    3,449.57x = 10,288,872.57
  5. Step 5: Solve for x
    x = 10,288,872.57/3,449.57
  6. Step 6: Final answer
    x = 2,982.66

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