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Finding the Fourth Proportional to 3,890.72, 5,831.22 and 1,943.48

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Solution

The fourth proportional to 3,890.72, 5,831.22 and 1,943.48 is: 2,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.72 : 5,831.22 = 1,943.48 : x
  2. Step 2: Convert to fraction form
    3,890.72/5,831.22 = 1,943.48/x
  3. Step 3: Cross multiply
    3,890.72x = 5,831.22 × 1,943.48
  4. Step 4: Simplify right side
    3,890.72x = 11,332,859.45
  5. Step 5: Solve for x
    x = 11,332,859.45/3,890.72
  6. Step 6: Final answer
    x = 2,912.79

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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.