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Finding the Fourth Proportional to 3,824.78, 5,738.38 and 1,744.70

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Solution

The fourth proportional to 3,824.78, 5,738.38 and 1,744.70 is: 2,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.78 : 5,738.38 = 1,744.70 : x
  2. Step 2: Convert to fraction form
    3,824.78/5,738.38 = 1,744.70/x
  3. Step 3: Cross multiply
    3,824.78x = 5,738.38 × 1,744.70
  4. Step 4: Simplify right side
    3,824.78x = 10,011,751.59
  5. Step 5: Solve for x
    x = 10,011,751.59/3,824.78
  6. Step 6: Final answer
    x = 2,617.60

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