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Finding the Fourth Proportional to 3,993.12, 5,990.40 and 2,046.24

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Solution

The fourth proportional to 3,993.12, 5,990.40 and 2,046.24 is: 3,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.12 : 5,990.40 = 2,046.24 : x
  2. Step 2: Convert to fraction form
    3,993.12/5,990.40 = 2,046.24/x
  3. Step 3: Cross multiply
    3,993.12x = 5,990.40 × 2,046.24
  4. Step 4: Simplify right side
    3,993.12x = 12,257,796.10
  5. Step 5: Solve for x
    x = 12,257,796.10/3,993.12
  6. Step 6: Final answer
    x = 3,069.73

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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.