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Finding the Fourth Proportional to 3,831.73, 5,744.54 and 3,524.20

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Solution

The fourth proportional to 3,831.73, 5,744.54 and 3,524.20 is: 5,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.73 : 5,744.54 = 3,524.20 : x
  2. Step 2: Convert to fraction form
    3,831.73/5,744.54 = 3,524.20/x
  3. Step 3: Cross multiply
    3,831.73x = 5,744.54 × 3,524.20
  4. Step 4: Simplify right side
    3,831.73x = 20,244,882.49
  5. Step 5: Solve for x
    x = 20,244,882.49/3,831.73
  6. Step 6: Final answer
    x = 5,283.49

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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.