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Finding the Fourth Proportional to 5,150.27, 7,724.47 and 1,640.65

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Solution

The fourth proportional to 5,150.27, 7,724.47 and 1,640.65 is: 2,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.27 : 7,724.47 = 1,640.65 : x
  2. Step 2: Convert to fraction form
    5,150.27/7,724.47 = 1,640.65/x
  3. Step 3: Cross multiply
    5,150.27x = 7,724.47 × 1,640.65
  4. Step 4: Simplify right side
    5,150.27x = 12,673,151.71
  5. Step 5: Solve for x
    x = 12,673,151.71/5,150.27
  6. Step 6: Final answer
    x = 2,460.68

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