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Finding the Fourth Proportional to 3,823.06, 5,726.40 and 1,871.20

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Solution

The fourth proportional to 3,823.06, 5,726.40 and 1,871.20 is: 2,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.06 : 5,726.40 = 1,871.20 : x
  2. Step 2: Convert to fraction form
    3,823.06/5,726.40 = 1,871.20/x
  3. Step 3: Cross multiply
    3,823.06x = 5,726.40 × 1,871.20
  4. Step 4: Simplify right side
    3,823.06x = 10,715,239.68
  5. Step 5: Solve for x
    x = 10,715,239.68/3,823.06
  6. Step 6: Final answer
    x = 2,802.79

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