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Finding the Fourth Proportional to 3,747.50, 5,612.50 and 2,962.23

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Solution

The fourth proportional to 3,747.50, 5,612.50 and 2,962.23 is: 4,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.50 : 5,612.50 = 2,962.23 : x
  2. Step 2: Convert to fraction form
    3,747.50/5,612.50 = 2,962.23/x
  3. Step 3: Cross multiply
    3,747.50x = 5,612.50 × 2,962.23
  4. Step 4: Simplify right side
    3,747.50x = 16,625,481.87
  5. Step 5: Solve for x
    x = 16,625,481.87/3,747.50
  6. Step 6: Final answer
    x = 4,436.42

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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.