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Finding the Fourth Proportional to 3,827.52, 5,740.20 and 2,184.84

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Solution

The fourth proportional to 3,827.52, 5,740.20 and 2,184.84 is: 3,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.52 : 5,740.20 = 2,184.84 : x
  2. Step 2: Convert to fraction form
    3,827.52/5,740.20 = 2,184.84/x
  3. Step 3: Cross multiply
    3,827.52x = 5,740.20 × 2,184.84
  4. Step 4: Simplify right side
    3,827.52x = 12,541,418.57
  5. Step 5: Solve for x
    x = 12,541,418.57/3,827.52
  6. Step 6: Final answer
    x = 3,276.64

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