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Finding the Fourth Proportional to 5,067.50, 7,600.87 and 1,780.82

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Solution

The fourth proportional to 5,067.50, 7,600.87 and 1,780.82 is: 2,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067.50 : 7,600.87 = 1,780.82 : x
  2. Step 2: Convert to fraction form
    5,067.50/7,600.87 = 1,780.82/x
  3. Step 3: Cross multiply
    5,067.50x = 7,600.87 × 1,780.82
  4. Step 4: Simplify right side
    5,067.50x = 13,535,734.40
  5. Step 5: Solve for x
    x = 13,535,734.40/5,067.50
  6. Step 6: Final answer
    x = 2,671.09

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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.