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Finding the Fourth Proportional to 3,827.56, 5,741.60 and 1,636.28

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Solution

The fourth proportional to 3,827.56, 5,741.60 and 1,636.28 is: 2,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.56 : 5,741.60 = 1,636.28 : x
  2. Step 2: Convert to fraction form
    3,827.56/5,741.60 = 1,636.28/x
  3. Step 3: Cross multiply
    3,827.56x = 5,741.60 × 1,636.28
  4. Step 4: Simplify right side
    3,827.56x = 9,394,865.25
  5. Step 5: Solve for x
    x = 9,394,865.25/3,827.56
  6. Step 6: Final answer
    x = 2,454.53

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