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Finding the Fourth Proportional to 3,843, 5,765.46 and 1,107

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Solution

The fourth proportional to 3,843, 5,765.46 and 1,107 is: 1,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843 : 5,765.46 = 1,107 : x
  2. Step 2: Convert to fraction form
    3,843/5,765.46 = 1,107/x
  3. Step 3: Cross multiply
    3,843x = 5,765.46 × 1,107
  4. Step 4: Simplify right side
    3,843x = 6,382,364.22
  5. Step 5: Solve for x
    x = 6,382,364.22/3,843
  6. Step 6: Final answer
    x = 1,660.78

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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.