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Finding the Fourth Proportional to 5,149.98, 7,725.24 and 1,452.24

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Solution

The fourth proportional to 5,149.98, 7,725.24 and 1,452.24 is: 2,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.98 : 7,725.24 = 1,452.24 : x
  2. Step 2: Convert to fraction form
    5,149.98/7,725.24 = 1,452.24/x
  3. Step 3: Cross multiply
    5,149.98x = 7,725.24 × 1,452.24
  4. Step 4: Simplify right side
    5,149.98x = 11,218,902.54
  5. Step 5: Solve for x
    x = 11,218,902.54/5,149.98
  6. Step 6: Final answer
    x = 2,178.44

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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.