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Finding the Fourth Proportional to 5,766.98, 7,958.46 and 3,249.14

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Solution

The fourth proportional to 5,766.98, 7,958.46 and 3,249.14 is: 4,483.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.98 : 7,958.46 = 3,249.14 : x
  2. Step 2: Convert to fraction form
    5,766.98/7,958.46 = 3,249.14/x
  3. Step 3: Cross multiply
    5,766.98x = 7,958.46 × 3,249.14
  4. Step 4: Simplify right side
    5,766.98x = 25,858,150.72
  5. Step 5: Solve for x
    x = 25,858,150.72/5,766.98
  6. Step 6: Final answer
    x = 4,483.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.