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Finding the Fourth Proportional to 3,397.26, 5,096.82 and 1,449.74

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Solution

The fourth proportional to 3,397.26, 5,096.82 and 1,449.74 is: 2,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.26 : 5,096.82 = 1,449.74 : x
  2. Step 2: Convert to fraction form
    3,397.26/5,096.82 = 1,449.74/x
  3. Step 3: Cross multiply
    3,397.26x = 5,096.82 × 1,449.74
  4. Step 4: Simplify right side
    3,397.26x = 7,389,063.83
  5. Step 5: Solve for x
    x = 7,389,063.83/3,397.26
  6. Step 6: Final answer
    x = 2,175.01

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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.