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Finding the Fourth Proportional to 3,825.80, 5,738.70 and 2,659.40

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Solution

The fourth proportional to 3,825.80, 5,738.70 and 2,659.40 is: 3,989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.80 : 5,738.70 = 2,659.40 : x
  2. Step 2: Convert to fraction form
    3,825.80/5,738.70 = 2,659.40/x
  3. Step 3: Cross multiply
    3,825.80x = 5,738.70 × 2,659.40
  4. Step 4: Simplify right side
    3,825.80x = 15,261,498.78
  5. Step 5: Solve for x
    x = 15,261,498.78/3,825.80
  6. Step 6: Final answer
    x = 3,989.10

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