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Finding the Fourth Proportional to 3,974.78, 5,965.73 and 2,921.92

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Solution

The fourth proportional to 3,974.78, 5,965.73 and 2,921.92 is: 4,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.78 : 5,965.73 = 2,921.92 : x
  2. Step 2: Convert to fraction form
    3,974.78/5,965.73 = 2,921.92/x
  3. Step 3: Cross multiply
    3,974.78x = 5,965.73 × 2,921.92
  4. Step 4: Simplify right side
    3,974.78x = 17,431,385.80
  5. Step 5: Solve for x
    x = 17,431,385.80/3,974.78
  6. Step 6: Final answer
    x = 4,385.50

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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.