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Finding the Fourth Proportional to 5,189.79, 7,161.93 and 2,831.97

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Solution

The fourth proportional to 5,189.79, 7,161.93 and 2,831.97 is: 3,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.79 : 7,161.93 = 2,831.97 : x
  2. Step 2: Convert to fraction form
    5,189.79/7,161.93 = 2,831.97/x
  3. Step 3: Cross multiply
    5,189.79x = 7,161.93 × 2,831.97
  4. Step 4: Simplify right side
    5,189.79x = 20,282,370.90
  5. Step 5: Solve for x
    x = 20,282,370.90/5,189.79
  6. Step 6: Final answer
    x = 3,908.13

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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.