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Finding the Fourth Proportional to 5,249.50, 7,866.30 and 3,167.18

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Solution

The fourth proportional to 5,249.50, 7,866.30 and 3,167.18 is: 4,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.50 : 7,866.30 = 3,167.18 : x
  2. Step 2: Convert to fraction form
    5,249.50/7,866.30 = 3,167.18/x
  3. Step 3: Cross multiply
    5,249.50x = 7,866.30 × 3,167.18
  4. Step 4: Simplify right side
    5,249.50x = 24,913,988.03
  5. Step 5: Solve for x
    x = 24,913,988.03/5,249.50
  6. Step 6: Final answer
    x = 4,745.97

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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.