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Finding the Fourth Proportional to 3,674.26, 5,512.31 and 1,724.19

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Solution

The fourth proportional to 3,674.26, 5,512.31 and 1,724.19 is: 2,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.26 : 5,512.31 = 1,724.19 : x
  2. Step 2: Convert to fraction form
    3,674.26/5,512.31 = 1,724.19/x
  3. Step 3: Cross multiply
    3,674.26x = 5,512.31 × 1,724.19
  4. Step 4: Simplify right side
    3,674.26x = 9,504,269.78
  5. Step 5: Solve for x
    x = 9,504,269.78/3,674.26
  6. Step 6: Final answer
    x = 2,586.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.