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Finding the Fourth Proportional to 5,149.44, 7,724.52 and 2,957.22

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Solution

The fourth proportional to 5,149.44, 7,724.52 and 2,957.22 is: 4,436.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.44 : 7,724.52 = 2,957.22 : x
  2. Step 2: Convert to fraction form
    5,149.44/7,724.52 = 2,957.22/x
  3. Step 3: Cross multiply
    5,149.44x = 7,724.52 × 2,957.22
  4. Step 4: Simplify right side
    5,149.44x = 22,843,105.03
  5. Step 5: Solve for x
    x = 22,843,105.03/5,149.44
  6. Step 6: Final answer
    x = 4,436.04

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Why These Related Problems?

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