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Finding the Fourth Proportional to 4,198.80, 6,298.20 and 3,997.20

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Solution

The fourth proportional to 4,198.80, 6,298.20 and 3,997.20 is: 5,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.80 : 6,298.20 = 3,997.20 : x
  2. Step 2: Convert to fraction form
    4,198.80/6,298.20 = 3,997.20/x
  3. Step 3: Cross multiply
    4,198.80x = 6,298.20 × 3,997.20
  4. Step 4: Simplify right side
    4,198.80x = 25,175,165.04
  5. Step 5: Solve for x
    x = 25,175,165.04/4,198.80
  6. Step 6: Final answer
    x = 5,995.80

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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.