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Finding the Fourth Proportional to 3,172.62, 4,753.46 and 2,246.62

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Solution

The fourth proportional to 3,172.62, 4,753.46 and 2,246.62 is: 3,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.62 : 4,753.46 = 2,246.62 : x
  2. Step 2: Convert to fraction form
    3,172.62/4,753.46 = 2,246.62/x
  3. Step 3: Cross multiply
    3,172.62x = 4,753.46 × 2,246.62
  4. Step 4: Simplify right side
    3,172.62x = 10,679,218.31
  5. Step 5: Solve for x
    x = 10,679,218.31/3,172.62
  6. Step 6: Final answer
    x = 3,366.06

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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.