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Finding the Fourth Proportional to 3,846.09, 5,769.27 and 3,233.73

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Solution

The fourth proportional to 3,846.09, 5,769.27 and 3,233.73 is: 4,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.09 : 5,769.27 = 3,233.73 : x
  2. Step 2: Convert to fraction form
    3,846.09/5,769.27 = 3,233.73/x
  3. Step 3: Cross multiply
    3,846.09x = 5,769.27 × 3,233.73
  4. Step 4: Simplify right side
    3,846.09x = 18,656,261.48
  5. Step 5: Solve for x
    x = 18,656,261.48/3,846.09
  6. Step 6: Final answer
    x = 4,850.71

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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.