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Finding the Fourth Proportional to 3,827.46, 5,737.86 and 3,246.24

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Solution

The fourth proportional to 3,827.46, 5,737.86 and 3,246.24 is: 4,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.46 : 5,737.86 = 3,246.24 : x
  2. Step 2: Convert to fraction form
    3,827.46/5,737.86 = 3,246.24/x
  3. Step 3: Cross multiply
    3,827.46x = 5,737.86 × 3,246.24
  4. Step 4: Simplify right side
    3,827.46x = 18,626,470.65
  5. Step 5: Solve for x
    x = 18,626,470.65/3,827.46
  6. Step 6: Final answer
    x = 4,866.54

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