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Finding the Fourth Proportional to 3,273.71, 4,517.48 and 1,857.65

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Solution

The fourth proportional to 3,273.71, 4,517.48 and 1,857.65 is: 2,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.71 : 4,517.48 = 1,857.65 : x
  2. Step 2: Convert to fraction form
    3,273.71/4,517.48 = 1,857.65/x
  3. Step 3: Cross multiply
    3,273.71x = 4,517.48 × 1,857.65
  4. Step 4: Simplify right side
    3,273.71x = 8,391,878.78
  5. Step 5: Solve for x
    x = 8,391,878.78/3,273.71
  6. Step 6: Final answer
    x = 2,563.42

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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.