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Finding the Fourth Proportional to 5,743.92, 8,611.17 and 2,044.04

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Solution

The fourth proportional to 5,743.92, 8,611.17 and 2,044.04 is: 3,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.92 : 8,611.17 = 2,044.04 : x
  2. Step 2: Convert to fraction form
    5,743.92/8,611.17 = 2,044.04/x
  3. Step 3: Cross multiply
    5,743.92x = 8,611.17 × 2,044.04
  4. Step 4: Simplify right side
    5,743.92x = 17,601,579.39
  5. Step 5: Solve for x
    x = 17,601,579.39/5,743.92
  6. Step 6: Final answer
    x = 3,064.39

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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.