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Finding the Fourth Proportional to 3,843.71, 5,765.73 and 1,993.65

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Solution

The fourth proportional to 3,843.71, 5,765.73 and 1,993.65 is: 2,990.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.71 : 5,765.73 = 1,993.65 : x
  2. Step 2: Convert to fraction form
    3,843.71/5,765.73 = 1,993.65/x
  3. Step 3: Cross multiply
    3,843.71x = 5,765.73 × 1,993.65
  4. Step 4: Simplify right side
    3,843.71x = 11,494,847.61
  5. Step 5: Solve for x
    x = 11,494,847.61/3,843.71
  6. Step 6: Final answer
    x = 2,990.56

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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.