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Finding the Fourth Proportional to 5,963.88, 8,231.78 and 3,867.88

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Solution

The fourth proportional to 5,963.88, 8,231.78 and 3,867.88 is: 5,338.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.88 : 8,231.78 = 3,867.88 : x
  2. Step 2: Convert to fraction form
    5,963.88/8,231.78 = 3,867.88/x
  3. Step 3: Cross multiply
    5,963.88x = 8,231.78 × 3,867.88
  4. Step 4: Simplify right side
    5,963.88x = 31,839,537.23
  5. Step 5: Solve for x
    x = 31,839,537.23/5,963.88
  6. Step 6: Final answer
    x = 5,338.73

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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.