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Finding the Fourth Proportional to 3,998.45, 5,517.69 and 2,230.02

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Solution

The fourth proportional to 3,998.45, 5,517.69 and 2,230.02 is: 3,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.45 : 5,517.69 = 2,230.02 : x
  2. Step 2: Convert to fraction form
    3,998.45/5,517.69 = 2,230.02/x
  3. Step 3: Cross multiply
    3,998.45x = 5,517.69 × 2,230.02
  4. Step 4: Simplify right side
    3,998.45x = 12,304,559.05
  5. Step 5: Solve for x
    x = 12,304,559.05/3,998.45
  6. Step 6: Final answer
    x = 3,077.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.