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Finding the Fourth Proportional to 4,660.82, 6,989.76 and 1,540.12

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Solution

The fourth proportional to 4,660.82, 6,989.76 and 1,540.12 is: 2,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.82 : 6,989.76 = 1,540.12 : x
  2. Step 2: Convert to fraction form
    4,660.82/6,989.76 = 1,540.12/x
  3. Step 3: Cross multiply
    4,660.82x = 6,989.76 × 1,540.12
  4. Step 4: Simplify right side
    4,660.82x = 10,765,069.17
  5. Step 5: Solve for x
    x = 10,765,069.17/4,660.82
  6. Step 6: Final answer
    x = 2,309.69

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