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Finding the Fourth Proportional to 3,999.50, 5,519.30 and 2,231

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Solution

The fourth proportional to 3,999.50, 5,519.30 and 2,231 is: 3,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.50 : 5,519.30 = 2,231 : x
  2. Step 2: Convert to fraction form
    3,999.50/5,519.30 = 2,231/x
  3. Step 3: Cross multiply
    3,999.50x = 5,519.30 × 2,231
  4. Step 4: Simplify right side
    3,999.50x = 12,313,558.30
  5. Step 5: Solve for x
    x = 12,313,558.30/3,999.50
  6. Step 6: Final answer
    x = 3,078.77

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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.