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Finding the Fourth Proportional to 3,863.97, 5,346.34 and 3,367.64

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Solution

The fourth proportional to 3,863.97, 5,346.34 and 3,367.64 is: 4,659.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.97 : 5,346.34 = 3,367.64 : x
  2. Step 2: Convert to fraction form
    3,863.97/5,346.34 = 3,367.64/x
  3. Step 3: Cross multiply
    3,863.97x = 5,346.34 × 3,367.64
  4. Step 4: Simplify right side
    3,863.97x = 18,004,553.38
  5. Step 5: Solve for x
    x = 18,004,553.38/3,863.97
  6. Step 6: Final answer
    x = 4,659.60

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1.5x scale

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.