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Finding the Fourth Proportional to 3,881.92, 5,821.09 and 1,248.94

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Solution

The fourth proportional to 3,881.92, 5,821.09 and 1,248.94 is: 1,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.92 : 5,821.09 = 1,248.94 : x
  2. Step 2: Convert to fraction form
    3,881.92/5,821.09 = 1,248.94/x
  3. Step 3: Cross multiply
    3,881.92x = 5,821.09 × 1,248.94
  4. Step 4: Simplify right side
    3,881.92x = 7,270,163.04
  5. Step 5: Solve for x
    x = 7,270,163.04/3,881.92
  6. Step 6: Final answer
    x = 1,872.83

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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.