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Finding the Fourth Proportional to 5,189.82, 7,161.92 and 2,831.96

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Solution

The fourth proportional to 5,189.82, 7,161.92 and 2,831.96 is: 3,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.82 : 7,161.92 = 2,831.96 : x
  2. Step 2: Convert to fraction form
    5,189.82/7,161.92 = 2,831.96/x
  3. Step 3: Cross multiply
    5,189.82x = 7,161.92 × 2,831.96
  4. Step 4: Simplify right side
    5,189.82x = 20,282,285.33
  5. Step 5: Solve for x
    x = 20,282,285.33/5,189.82
  6. Step 6: Final answer
    x = 3,908.09

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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.