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Finding the Fourth Proportional to 5,935.97, 8,891.37 and 3,849.77

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Solution

The fourth proportional to 5,935.97, 8,891.37 and 3,849.77 is: 5,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.97 : 8,891.37 = 3,849.77 : x
  2. Step 2: Convert to fraction form
    5,935.97/8,891.37 = 3,849.77/x
  3. Step 3: Cross multiply
    5,935.97x = 8,891.37 × 3,849.77
  4. Step 4: Simplify right side
    5,935.97x = 34,229,685.03
  5. Step 5: Solve for x
    x = 34,229,685.03/5,935.97
  6. Step 6: Final answer
    x = 5,766.49

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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.