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Finding the Fourth Proportional to 3,801.82, 5,702.34 and 1,028.38

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Solution

The fourth proportional to 3,801.82, 5,702.34 and 1,028.38 is: 1,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.82 : 5,702.34 = 1,028.38 : x
  2. Step 2: Convert to fraction form
    3,801.82/5,702.34 = 1,028.38/x
  3. Step 3: Cross multiply
    3,801.82x = 5,702.34 × 1,028.38
  4. Step 4: Simplify right side
    3,801.82x = 5,864,172.41
  5. Step 5: Solve for x
    x = 5,864,172.41/3,801.82
  6. Step 6: Final answer
    x = 1,542.46

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