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Finding the Fourth Proportional to 3,842.33, 5,759.33 and 1,863.77

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Solution

The fourth proportional to 3,842.33, 5,759.33 and 1,863.77 is: 2,793.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.33 : 5,759.33 = 1,863.77 : x
  2. Step 2: Convert to fraction form
    3,842.33/5,759.33 = 1,863.77/x
  3. Step 3: Cross multiply
    3,842.33x = 5,759.33 × 1,863.77
  4. Step 4: Simplify right side
    3,842.33x = 10,734,028.36
  5. Step 5: Solve for x
    x = 10,734,028.36/3,842.33
  6. Step 6: Final answer
    x = 2,793.63

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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.