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Finding the Fourth Proportional to 5,469.93, 8,202.87 and 1,958.97

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Solution

The fourth proportional to 5,469.93, 8,202.87 and 1,958.97 is: 2,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.93 : 8,202.87 = 1,958.97 : x
  2. Step 2: Convert to fraction form
    5,469.93/8,202.87 = 1,958.97/x
  3. Step 3: Cross multiply
    5,469.93x = 8,202.87 × 1,958.97
  4. Step 4: Simplify right side
    5,469.93x = 16,069,176.24
  5. Step 5: Solve for x
    x = 16,069,176.24/5,469.93
  6. Step 6: Final answer
    x = 2,937.73

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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.