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Finding the Fourth Proportional to 5,138.82, 7,708.23 and 3,998.34

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Solution

The fourth proportional to 5,138.82, 7,708.23 and 3,998.34 is: 5,997.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.82 : 7,708.23 = 3,998.34 : x
  2. Step 2: Convert to fraction form
    5,138.82/7,708.23 = 3,998.34/x
  3. Step 3: Cross multiply
    5,138.82x = 7,708.23 × 3,998.34
  4. Step 4: Simplify right side
    5,138.82x = 30,820,124.34
  5. Step 5: Solve for x
    x = 30,820,124.34/5,138.82
  6. Step 6: Final answer
    x = 5,997.51

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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.