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Finding the Fourth Proportional to 3,107.56, 4,659.90 and 1,159.24

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Solution

The fourth proportional to 3,107.56, 4,659.90 and 1,159.24 is: 1,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.56 : 4,659.90 = 1,159.24 : x
  2. Step 2: Convert to fraction form
    3,107.56/4,659.90 = 1,159.24/x
  3. Step 3: Cross multiply
    3,107.56x = 4,659.90 × 1,159.24
  4. Step 4: Simplify right side
    3,107.56x = 5,401,942.48
  5. Step 5: Solve for x
    x = 5,401,942.48/3,107.56
  6. Step 6: Final answer
    x = 1,738.32

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