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Finding the Fourth Proportional to 4,855.94, 6,700.97 and 2,731.82

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Solution

The fourth proportional to 4,855.94, 6,700.97 and 2,731.82 is: 3,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.94 : 6,700.97 = 2,731.82 : x
  2. Step 2: Convert to fraction form
    4,855.94/6,700.97 = 2,731.82/x
  3. Step 3: Cross multiply
    4,855.94x = 6,700.97 × 2,731.82
  4. Step 4: Simplify right side
    4,855.94x = 18,305,796.70
  5. Step 5: Solve for x
    x = 18,305,796.70/4,855.94
  6. Step 6: Final answer
    x = 3,769.78

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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.