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Finding the Fourth Proportional to 4,874.97, 6,725.78 and 2,750.24

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Solution

The fourth proportional to 4,874.97, 6,725.78 and 2,750.24 is: 3,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.97 : 6,725.78 = 2,750.24 : x
  2. Step 2: Convert to fraction form
    4,874.97/6,725.78 = 2,750.24/x
  3. Step 3: Cross multiply
    4,874.97x = 6,725.78 × 2,750.24
  4. Step 4: Simplify right side
    4,874.97x = 18,497,500.20
  5. Step 5: Solve for x
    x = 18,497,500.20/4,874.97
  6. Step 6: Final answer
    x = 3,794.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.