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Finding the Fourth Proportional to 3,759.67, 5,640.21 and 1,162

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Solution

The fourth proportional to 3,759.67, 5,640.21 and 1,162 is: 1,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.67 : 5,640.21 = 1,162 : x
  2. Step 2: Convert to fraction form
    3,759.67/5,640.21 = 1,162/x
  3. Step 3: Cross multiply
    3,759.67x = 5,640.21 × 1,162
  4. Step 4: Simplify right side
    3,759.67x = 6,553,924.02
  5. Step 5: Solve for x
    x = 6,553,924.02/3,759.67
  6. Step 6: Final answer
    x = 1,743.22

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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.