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Finding the Fourth Proportional to 5,249.25, 7,865.94 and 3,166.94

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Solution

The fourth proportional to 5,249.25, 7,865.94 and 3,166.94 is: 4,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.25 : 7,865.94 = 3,166.94 : x
  2. Step 2: Convert to fraction form
    5,249.25/7,865.94 = 3,166.94/x
  3. Step 3: Cross multiply
    5,249.25x = 7,865.94 × 3,166.94
  4. Step 4: Simplify right side
    5,249.25x = 24,910,960.02
  5. Step 5: Solve for x
    x = 24,910,960.02/5,249.25
  6. Step 6: Final answer
    x = 4,745.62

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1.5x scale

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.