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Finding the Fourth Proportional to 5,149.83, 7,724.75 and 1,639.90

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Solution

The fourth proportional to 5,149.83, 7,724.75 and 1,639.90 is: 2,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.83 : 7,724.75 = 1,639.90 : x
  2. Step 2: Convert to fraction form
    5,149.83/7,724.75 = 1,639.90/x
  3. Step 3: Cross multiply
    5,149.83x = 7,724.75 × 1,639.90
  4. Step 4: Simplify right side
    5,149.83x = 12,667,790.01
  5. Step 5: Solve for x
    x = 12,667,790.01/5,149.83
  6. Step 6: Final answer
    x = 2,459.85

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