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Finding the Fourth Proportional to 5,067, 6,992.46 and 2,859

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Solution

The fourth proportional to 5,067, 6,992.46 and 2,859 is: 3,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067 : 6,992.46 = 2,859 : x
  2. Step 2: Convert to fraction form
    5,067/6,992.46 = 2,859/x
  3. Step 3: Cross multiply
    5,067x = 6,992.46 × 2,859
  4. Step 4: Simplify right side
    5,067x = 19,991,443.14
  5. Step 5: Solve for x
    x = 19,991,443.14/5,067
  6. Step 6: Final answer
    x = 3,945.42

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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.