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Finding the Fourth Proportional to 3,988.80, 5,983.12 and 1,067

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Solution

The fourth proportional to 3,988.80, 5,983.12 and 1,067 is: 1,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.80 : 5,983.12 = 1,067 : x
  2. Step 2: Convert to fraction form
    3,988.80/5,983.12 = 1,067/x
  3. Step 3: Cross multiply
    3,988.80x = 5,983.12 × 1,067
  4. Step 4: Simplify right side
    3,988.80x = 6,383,989.04
  5. Step 5: Solve for x
    x = 6,383,989.04/3,988.80
  6. Step 6: Final answer
    x = 1,600.48

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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.