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Finding the Fourth Proportional to 3,172.62, 4,758.02 and 1,224.38

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Solution

The fourth proportional to 3,172.62, 4,758.02 and 1,224.38 is: 1,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.62 : 4,758.02 = 1,224.38 : x
  2. Step 2: Convert to fraction form
    3,172.62/4,758.02 = 1,224.38/x
  3. Step 3: Cross multiply
    3,172.62x = 4,758.02 × 1,224.38
  4. Step 4: Simplify right side
    3,172.62x = 5,825,624.53
  5. Step 5: Solve for x
    x = 5,825,624.53/3,172.62
  6. Step 6: Final answer
    x = 1,836.22

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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.