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Finding the Fourth Proportional to 3,274.65, 4,912.71 and 1,083.39

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Solution

The fourth proportional to 3,274.65, 4,912.71 and 1,083.39 is: 1,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.65 : 4,912.71 = 1,083.39 : x
  2. Step 2: Convert to fraction form
    3,274.65/4,912.71 = 1,083.39/x
  3. Step 3: Cross multiply
    3,274.65x = 4,912.71 × 1,083.39
  4. Step 4: Simplify right side
    3,274.65x = 5,322,380.89
  5. Step 5: Solve for x
    x = 5,322,380.89/3,274.65
  6. Step 6: Final answer
    x = 1,625.33

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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.