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Finding the Fourth Proportional to 5,067, 7,600.12 and 1,780.31

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Solution

The fourth proportional to 5,067, 7,600.12 and 1,780.31 is: 2,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067 : 7,600.12 = 1,780.31 : x
  2. Step 2: Convert to fraction form
    5,067/7,600.12 = 1,780.31/x
  3. Step 3: Cross multiply
    5,067x = 7,600.12 × 1,780.31
  4. Step 4: Simplify right side
    5,067x = 13,530,584.19
  5. Step 5: Solve for x
    x = 13,530,584.19/5,067
  6. Step 6: Final answer
    x = 2,670.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.