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Finding the Fourth Proportional to 4,194.97, 5,781.91 and 2,866.38

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Solution

The fourth proportional to 4,194.97, 5,781.91 and 2,866.38 is: 3,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.97 : 5,781.91 = 2,866.38 : x
  2. Step 2: Convert to fraction form
    4,194.97/5,781.91 = 2,866.38/x
  3. Step 3: Cross multiply
    4,194.97x = 5,781.91 × 2,866.38
  4. Step 4: Simplify right side
    4,194.97x = 16,573,151.19
  5. Step 5: Solve for x
    x = 16,573,151.19/4,194.97
  6. Step 6: Final answer
    x = 3,950.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.