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Finding the Fourth Proportional to 3,821.64, 5,727.02 and 2,261.96

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Solution

The fourth proportional to 3,821.64, 5,727.02 and 2,261.96 is: 3,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.64 : 5,727.02 = 2,261.96 : x
  2. Step 2: Convert to fraction form
    3,821.64/5,727.02 = 2,261.96/x
  3. Step 3: Cross multiply
    3,821.64x = 5,727.02 × 2,261.96
  4. Step 4: Simplify right side
    3,821.64x = 12,954,290.16
  5. Step 5: Solve for x
    x = 12,954,290.16/3,821.64
  6. Step 6: Final answer
    x = 3,389.72

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