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Finding the Fourth Proportional to 5,987.50, 8,983.02 and 3,067.85

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Solution

The fourth proportional to 5,987.50, 8,983.02 and 3,067.85 is: 4,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,987.50 : 8,983.02 = 3,067.85 : x
  2. Step 2: Convert to fraction form
    5,987.50/8,983.02 = 3,067.85/x
  3. Step 3: Cross multiply
    5,987.50x = 8,983.02 × 3,067.85
  4. Step 4: Simplify right side
    5,987.50x = 27,558,557.91
  5. Step 5: Solve for x
    x = 27,558,557.91/5,987.50
  6. Step 6: Final answer
    x = 4,602.69

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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.