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Finding the Fourth Proportional to 3,998.63, 5,517.89 and 2,230.19

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Solution

The fourth proportional to 3,998.63, 5,517.89 and 2,230.19 is: 3,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.63 : 5,517.89 = 2,230.19 : x
  2. Step 2: Convert to fraction form
    3,998.63/5,517.89 = 2,230.19/x
  3. Step 3: Cross multiply
    3,998.63x = 5,517.89 × 2,230.19
  4. Step 4: Simplify right side
    3,998.63x = 12,305,943.10
  5. Step 5: Solve for x
    x = 12,305,943.10/3,998.63
  6. Step 6: Final answer
    x = 3,077.54

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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.