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Finding the Fourth Proportional to 3,450.28, 5,172.28 and 1,694.28

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Solution

The fourth proportional to 3,450.28, 5,172.28 and 1,694.28 is: 2,539.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.28 : 5,172.28 = 1,694.28 : x
  2. Step 2: Convert to fraction form
    3,450.28/5,172.28 = 1,694.28/x
  3. Step 3: Cross multiply
    3,450.28x = 5,172.28 × 1,694.28
  4. Step 4: Simplify right side
    3,450.28x = 8,763,290.56
  5. Step 5: Solve for x
    x = 8,763,290.56/3,450.28
  6. Step 6: Final answer
    x = 2,539.88

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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.