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Finding the Fourth Proportional to 5,512.29, 7,609.14 and 3,834.68

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Solution

The fourth proportional to 5,512.29, 7,609.14 and 3,834.68 is: 5,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512.29 : 7,609.14 = 3,834.68 : x
  2. Step 2: Convert to fraction form
    5,512.29/7,609.14 = 3,834.68/x
  3. Step 3: Cross multiply
    5,512.29x = 7,609.14 × 3,834.68
  4. Step 4: Simplify right side
    5,512.29x = 29,178,578.93
  5. Step 5: Solve for x
    x = 29,178,578.93/5,512.29
  6. Step 6: Final answer
    x = 5,293.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.