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Finding the Fourth Proportional to 3,882.23, 5,827.20 and 1,802.70

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Solution

The fourth proportional to 3,882.23, 5,827.20 and 1,802.70 is: 2,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.23 : 5,827.20 = 1,802.70 : x
  2. Step 2: Convert to fraction form
    3,882.23/5,827.20 = 1,802.70/x
  3. Step 3: Cross multiply
    3,882.23x = 5,827.20 × 1,802.70
  4. Step 4: Simplify right side
    3,882.23x = 10,504,693.44
  5. Step 5: Solve for x
    x = 10,504,693.44/3,882.23
  6. Step 6: Final answer
    x = 2,705.84

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