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Finding the Fourth Proportional to 3,827.64, 5,740.55 and 1,194.74

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Solution

The fourth proportional to 3,827.64, 5,740.55 and 1,194.74 is: 1,791.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.64 : 5,740.55 = 1,194.74 : x
  2. Step 2: Convert to fraction form
    3,827.64/5,740.55 = 1,194.74/x
  3. Step 3: Cross multiply
    3,827.64x = 5,740.55 × 1,194.74
  4. Step 4: Simplify right side
    3,827.64x = 6,858,464.71
  5. Step 5: Solve for x
    x = 6,858,464.71/3,827.64
  6. Step 6: Final answer
    x = 1,791.83

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