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Finding the Fourth Proportional to 3,751.97, 5,178.73 and 2,158.80

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Solution

The fourth proportional to 3,751.97, 5,178.73 and 2,158.80 is: 2,979.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.97 : 5,178.73 = 2,158.80 : x
  2. Step 2: Convert to fraction form
    3,751.97/5,178.73 = 2,158.80/x
  3. Step 3: Cross multiply
    3,751.97x = 5,178.73 × 2,158.80
  4. Step 4: Simplify right side
    3,751.97x = 11,179,842.32
  5. Step 5: Solve for x
    x = 11,179,842.32/3,751.97
  6. Step 6: Final answer
    x = 2,979.73

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