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Finding the Fourth Proportional to 5,102.07, 7,646.22 and 3,865.61

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Solution

The fourth proportional to 5,102.07, 7,646.22 and 3,865.61 is: 5,793.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.07 : 7,646.22 = 3,865.61 : x
  2. Step 2: Convert to fraction form
    5,102.07/7,646.22 = 3,865.61/x
  3. Step 3: Cross multiply
    5,102.07x = 7,646.22 × 3,865.61
  4. Step 4: Simplify right side
    5,102.07x = 29,557,266.26
  5. Step 5: Solve for x
    x = 29,557,266.26/5,102.07
  6. Step 6: Final answer
    x = 5,793.19

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