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Finding the Fourth Proportional to 3,999.32, 5,519.08 and 2,231

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Solution

The fourth proportional to 3,999.32, 5,519.08 and 2,231 is: 3,078.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.32 : 5,519.08 = 2,231 : x
  2. Step 2: Convert to fraction form
    3,999.32/5,519.08 = 2,231/x
  3. Step 3: Cross multiply
    3,999.32x = 5,519.08 × 2,231
  4. Step 4: Simplify right side
    3,999.32x = 12,313,067.48
  5. Step 5: Solve for x
    x = 12,313,067.48/3,999.32
  6. Step 6: Final answer
    x = 3,078.79

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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.