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Finding the Fourth Proportional to 3,837.65, 5,756.47 and 1,644.95

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Solution

The fourth proportional to 3,837.65, 5,756.47 and 1,644.95 is: 2,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.65 : 5,756.47 = 1,644.95 : x
  2. Step 2: Convert to fraction form
    3,837.65/5,756.47 = 1,644.95/x
  3. Step 3: Cross multiply
    3,837.65x = 5,756.47 × 1,644.95
  4. Step 4: Simplify right side
    3,837.65x = 9,469,115.61
  5. Step 5: Solve for x
    x = 9,469,115.61/3,837.65
  6. Step 6: Final answer
    x = 2,467.43

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