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Finding the Fourth Proportional to 3,999.84, 5,519.90 and 2,231.44

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Solution

The fourth proportional to 3,999.84, 5,519.90 and 2,231.44 is: 3,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.84 : 5,519.90 = 2,231.44 : x
  2. Step 2: Convert to fraction form
    3,999.84/5,519.90 = 2,231.44/x
  3. Step 3: Cross multiply
    3,999.84x = 5,519.90 × 2,231.44
  4. Step 4: Simplify right side
    3,999.84x = 12,317,325.66
  5. Step 5: Solve for x
    x = 12,317,325.66/3,999.84
  6. Step 6: Final answer
    x = 3,079.45

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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.