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Finding the Fourth Proportional to 3,764.26, 5,646.40 and 1,028.26

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Solution

The fourth proportional to 3,764.26, 5,646.40 and 1,028.26 is: 1,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.26 : 5,646.40 = 1,028.26 : x
  2. Step 2: Convert to fraction form
    3,764.26/5,646.40 = 1,028.26/x
  3. Step 3: Cross multiply
    3,764.26x = 5,646.40 × 1,028.26
  4. Step 4: Simplify right side
    3,764.26x = 5,805,967.26
  5. Step 5: Solve for x
    x = 5,805,967.26/3,764.26
  6. Step 6: Final answer
    x = 1,542.39

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