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Finding the Fourth Proportional to 3,825.48, 5,738.40 and 1,194.78

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Solution

The fourth proportional to 3,825.48, 5,738.40 and 1,194.78 is: 1,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.48 : 5,738.40 = 1,194.78 : x
  2. Step 2: Convert to fraction form
    3,825.48/5,738.40 = 1,194.78/x
  3. Step 3: Cross multiply
    3,825.48x = 5,738.40 × 1,194.78
  4. Step 4: Simplify right side
    3,825.48x = 6,856,125.55
  5. Step 5: Solve for x
    x = 6,856,125.55/3,825.48
  6. Step 6: Final answer
    x = 1,792.23

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