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Finding the Fourth Proportional to 3,220.80, 4,441.28 and 3,149.44

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Solution

The fourth proportional to 3,220.80, 4,441.28 and 3,149.44 is: 4,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.80 : 4,441.28 = 3,149.44 : x
  2. Step 2: Convert to fraction form
    3,220.80/4,441.28 = 3,149.44/x
  3. Step 3: Cross multiply
    3,220.80x = 4,441.28 × 3,149.44
  4. Step 4: Simplify right side
    3,220.80x = 13,987,544.88
  5. Step 5: Solve for x
    x = 13,987,544.88/3,220.80
  6. Step 6: Final answer
    x = 4,342.88

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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.