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Finding the Fourth Proportional to 3,827.76, 5,735.31 and 3,683.78

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Solution

The fourth proportional to 3,827.76, 5,735.31 and 3,683.78 is: 5,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.76 : 5,735.31 = 3,683.78 : x
  2. Step 2: Convert to fraction form
    3,827.76/5,735.31 = 3,683.78/x
  3. Step 3: Cross multiply
    3,827.76x = 5,735.31 × 3,683.78
  4. Step 4: Simplify right side
    3,827.76x = 21,127,599.29
  5. Step 5: Solve for x
    x = 21,127,599.29/3,827.76
  6. Step 6: Final answer
    x = 5,519.58

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