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Finding the Fourth Proportional to 3,273.82, 4,517.97 and 1,857.47

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Solution

The fourth proportional to 3,273.82, 4,517.97 and 1,857.47 is: 2,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.82 : 4,517.97 = 1,857.47 : x
  2. Step 2: Convert to fraction form
    3,273.82/4,517.97 = 1,857.47/x
  3. Step 3: Cross multiply
    3,273.82x = 4,517.97 × 1,857.47
  4. Step 4: Simplify right side
    3,273.82x = 8,391,984.45
  5. Step 5: Solve for x
    x = 8,391,984.45/3,273.82
  6. Step 6: Final answer
    x = 2,563.36

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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.