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Finding the Fourth Proportional to 3,964.98, 5,974.69 and 3,286.86

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Solution

The fourth proportional to 3,964.98, 5,974.69 and 3,286.86 is: 4,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.98 : 5,974.69 = 3,286.86 : x
  2. Step 2: Convert to fraction form
    3,964.98/5,974.69 = 3,286.86/x
  3. Step 3: Cross multiply
    3,964.98x = 5,974.69 × 3,286.86
  4. Step 4: Simplify right side
    3,964.98x = 19,637,969.57
  5. Step 5: Solve for x
    x = 19,637,969.57/3,964.98
  6. Step 6: Final answer
    x = 4,952.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.