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Finding the Fourth Proportional to 3,683.91, 5,083.09 and 2,564.44

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Solution

The fourth proportional to 3,683.91, 5,083.09 and 2,564.44 is: 3,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.91 : 5,083.09 = 2,564.44 : x
  2. Step 2: Convert to fraction form
    3,683.91/5,083.09 = 2,564.44/x
  3. Step 3: Cross multiply
    3,683.91x = 5,083.09 × 2,564.44
  4. Step 4: Simplify right side
    3,683.91x = 13,035,241.08
  5. Step 5: Solve for x
    x = 13,035,241.08/3,683.91
  6. Step 6: Final answer
    x = 3,538.43

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