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Finding the Fourth Proportional to 3,993.34, 5,990.82 and 1,398.10

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Solution

The fourth proportional to 3,993.34, 5,990.82 and 1,398.10 is: 2,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.34 : 5,990.82 = 1,398.10 : x
  2. Step 2: Convert to fraction form
    3,993.34/5,990.82 = 1,398.10/x
  3. Step 3: Cross multiply
    3,993.34x = 5,990.82 × 1,398.10
  4. Step 4: Simplify right side
    3,993.34x = 8,375,765.44
  5. Step 5: Solve for x
    x = 8,375,765.44/3,993.34
  6. Step 6: Final answer
    x = 2,097.43

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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.