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Finding the Fourth Proportional to 3,769.09, 5,198.37 and 3,517.57

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Solution

The fourth proportional to 3,769.09, 5,198.37 and 3,517.57 is: 4,851.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.09 : 5,198.37 = 3,517.57 : x
  2. Step 2: Convert to fraction form
    3,769.09/5,198.37 = 3,517.57/x
  3. Step 3: Cross multiply
    3,769.09x = 5,198.37 × 3,517.57
  4. Step 4: Simplify right side
    3,769.09x = 18,285,630.36
  5. Step 5: Solve for x
    x = 18,285,630.36/3,769.09
  6. Step 6: Final answer
    x = 4,851.47

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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.