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Finding the Fourth Proportional to 3,831.34, 5,744.07 and 1,981.27

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Solution

The fourth proportional to 3,831.34, 5,744.07 and 1,981.27 is: 2,970.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.34 : 5,744.07 = 1,981.27 : x
  2. Step 2: Convert to fraction form
    3,831.34/5,744.07 = 1,981.27/x
  3. Step 3: Cross multiply
    3,831.34x = 5,744.07 × 1,981.27
  4. Step 4: Simplify right side
    3,831.34x = 11,380,524.85
  5. Step 5: Solve for x
    x = 11,380,524.85/3,831.34
  6. Step 6: Final answer
    x = 2,970.38

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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.