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Finding the Fourth Proportional to 3,224.75, 4,839.29 and 1,172.75

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Solution

The fourth proportional to 3,224.75, 4,839.29 and 1,172.75 is: 1,759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.75 : 4,839.29 = 1,172.75 : x
  2. Step 2: Convert to fraction form
    3,224.75/4,839.29 = 1,172.75/x
  3. Step 3: Cross multiply
    3,224.75x = 4,839.29 × 1,172.75
  4. Step 4: Simplify right side
    3,224.75x = 5,675,285.05
  5. Step 5: Solve for x
    x = 5,675,285.05/3,224.75
  6. Step 6: Final answer
    x = 1,759.91

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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.