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Finding the Fourth Proportional to 5,847, 8,067.63 and 3,958.89

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Solution

The fourth proportional to 5,847, 8,067.63 and 3,958.89 is: 5,462.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847 : 8,067.63 = 3,958.89 : x
  2. Step 2: Convert to fraction form
    5,847/8,067.63 = 3,958.89/x
  3. Step 3: Cross multiply
    5,847x = 8,067.63 × 3,958.89
  4. Step 4: Simplify right side
    5,847x = 31,938,859.73
  5. Step 5: Solve for x
    x = 31,938,859.73/5,847
  6. Step 6: Final answer
    x = 5,462.44

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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.