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Finding the Fourth Proportional to 3,842.24, 5,764.97 and 1,993.82

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Solution

The fourth proportional to 3,842.24, 5,764.97 and 1,993.82 is: 2,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.24 : 5,764.97 = 1,993.82 : x
  2. Step 2: Convert to fraction form
    3,842.24/5,764.97 = 1,993.82/x
  3. Step 3: Cross multiply
    3,842.24x = 5,764.97 × 1,993.82
  4. Step 4: Simplify right side
    3,842.24x = 11,494,288.65
  5. Step 5: Solve for x
    x = 11,494,288.65/3,842.24
  6. Step 6: Final answer
    x = 2,991.56

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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.