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Finding the Fourth Proportional to 3,449.61, 5,175.72 and 1,987.97

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Solution

The fourth proportional to 3,449.61, 5,175.72 and 1,987.97 is: 2,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.61 : 5,175.72 = 1,987.97 : x
  2. Step 2: Convert to fraction form
    3,449.61/5,175.72 = 1,987.97/x
  3. Step 3: Cross multiply
    3,449.61x = 5,175.72 × 1,987.97
  4. Step 4: Simplify right side
    3,449.61x = 10,289,150.21
  5. Step 5: Solve for x
    x = 10,289,150.21/3,449.61
  6. Step 6: Final answer
    x = 2,982.70

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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.