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Finding the Fourth Proportional to 3,274.17, 4,912.07 and 1,083.06

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Solution

The fourth proportional to 3,274.17, 4,912.07 and 1,083.06 is: 1,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.17 : 4,912.07 = 1,083.06 : x
  2. Step 2: Convert to fraction form
    3,274.17/4,912.07 = 1,083.06/x
  3. Step 3: Cross multiply
    3,274.17x = 4,912.07 × 1,083.06
  4. Step 4: Simplify right side
    3,274.17x = 5,320,061.12
  5. Step 5: Solve for x
    x = 5,320,061.12/3,274.17
  6. Step 6: Final answer
    x = 1,624.86

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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.