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Finding the Fourth Proportional to 3,997, 5,995.20 and 1,531.60

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Solution

The fourth proportional to 3,997, 5,995.20 and 1,531.60 is: 2,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997 : 5,995.20 = 1,531.60 : x
  2. Step 2: Convert to fraction form
    3,997/5,995.20 = 1,531.60/x
  3. Step 3: Cross multiply
    3,997x = 5,995.20 × 1,531.60
  4. Step 4: Simplify right side
    3,997x = 9,182,248.32
  5. Step 5: Solve for x
    x = 9,182,248.32/3,997
  6. Step 6: Final answer
    x = 2,297.29

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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.