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Finding the Fourth Proportional to 2,655.38, 3,972.02 and 2,458.56

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Solution

The fourth proportional to 2,655.38, 3,972.02 and 2,458.56 is: 3,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.38 : 3,972.02 = 2,458.56 : x
  2. Step 2: Convert to fraction form
    2,655.38/3,972.02 = 2,458.56/x
  3. Step 3: Cross multiply
    2,655.38x = 3,972.02 × 2,458.56
  4. Step 4: Simplify right side
    2,655.38x = 9,765,449.49
  5. Step 5: Solve for x
    x = 9,765,449.49/2,655.38
  6. Step 6: Final answer
    x = 3,677.61

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