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Finding the Fourth Proportional to 3,172.43, 4,763.25 and 2,252.88

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Solution

The fourth proportional to 3,172.43, 4,763.25 and 2,252.88 is: 3,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.43 : 4,763.25 = 2,252.88 : x
  2. Step 2: Convert to fraction form
    3,172.43/4,763.25 = 2,252.88/x
  3. Step 3: Cross multiply
    3,172.43x = 4,763.25 × 2,252.88
  4. Step 4: Simplify right side
    3,172.43x = 10,731,030.66
  5. Step 5: Solve for x
    x = 10,731,030.66/3,172.43
  6. Step 6: Final answer
    x = 3,382.59

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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.