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Finding the Fourth Proportional to 3,493.44, 5,227.20 and 2,033.28

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Solution

The fourth proportional to 3,493.44, 5,227.20 and 2,033.28 is: 3,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.44 : 5,227.20 = 2,033.28 : x
  2. Step 2: Convert to fraction form
    3,493.44/5,227.20 = 2,033.28/x
  3. Step 3: Cross multiply
    3,493.44x = 5,227.20 × 2,033.28
  4. Step 4: Simplify right side
    3,493.44x = 10,628,361.22
  5. Step 5: Solve for x
    x = 10,628,361.22/3,493.44
  6. Step 6: Final answer
    x = 3,042.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.