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Finding the Fourth Proportional to 5,791.52, 8,685.04 and 2,092.78

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Solution

The fourth proportional to 5,791.52, 8,685.04 and 2,092.78 is: 3,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.52 : 8,685.04 = 2,092.78 : x
  2. Step 2: Convert to fraction form
    5,791.52/8,685.04 = 2,092.78/x
  3. Step 3: Cross multiply
    5,791.52x = 8,685.04 × 2,092.78
  4. Step 4: Simplify right side
    5,791.52x = 18,175,878.01
  5. Step 5: Solve for x
    x = 18,175,878.01/5,791.52
  6. Step 6: Final answer
    x = 3,138.36

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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.