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Finding the Fourth Proportional to 3,842.44, 5,763.46 and 1,069.27

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Solution

The fourth proportional to 3,842.44, 5,763.46 and 1,069.27 is: 1,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.44 : 5,763.46 = 1,069.27 : x
  2. Step 2: Convert to fraction form
    3,842.44/5,763.46 = 1,069.27/x
  3. Step 3: Cross multiply
    3,842.44x = 5,763.46 × 1,069.27
  4. Step 4: Simplify right side
    3,842.44x = 6,162,694.87
  5. Step 5: Solve for x
    x = 6,162,694.87/3,842.44
  6. Step 6: Final answer
    x = 1,603.85

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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.