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Finding the Fourth Proportional to 3,397.56, 5,096.39 and 1,317.68

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Solution

The fourth proportional to 3,397.56, 5,096.39 and 1,317.68 is: 1,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.56 : 5,096.39 = 1,317.68 : x
  2. Step 2: Convert to fraction form
    3,397.56/5,096.39 = 1,317.68/x
  3. Step 3: Cross multiply
    3,397.56x = 5,096.39 × 1,317.68
  4. Step 4: Simplify right side
    3,397.56x = 6,715,398.22
  5. Step 5: Solve for x
    x = 6,715,398.22/3,397.56
  6. Step 6: Final answer
    x = 1,976.54

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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.