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Finding the Fourth Proportional to 3,397.49, 5,096.28 and 1,448.27

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Solution

The fourth proportional to 3,397.49, 5,096.28 and 1,448.27 is: 2,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.49 : 5,096.28 = 1,448.27 : x
  2. Step 2: Convert to fraction form
    3,397.49/5,096.28 = 1,448.27/x
  3. Step 3: Cross multiply
    3,397.49x = 5,096.28 × 1,448.27
  4. Step 4: Simplify right side
    3,397.49x = 7,380,789.44
  5. Step 5: Solve for x
    x = 7,380,789.44/3,397.49
  6. Step 6: Final answer
    x = 2,172.42

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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.