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Finding the Fourth Proportional to 3,764.28, 5,646.36 and 1,028.28

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Solution

The fourth proportional to 3,764.28, 5,646.36 and 1,028.28 is: 1,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.28 : 5,646.36 = 1,028.28 : x
  2. Step 2: Convert to fraction form
    3,764.28/5,646.36 = 1,028.28/x
  3. Step 3: Cross multiply
    3,764.28x = 5,646.36 × 1,028.28
  4. Step 4: Simplify right side
    3,764.28x = 5,806,039.06
  5. Step 5: Solve for x
    x = 5,806,039.06/3,764.28
  6. Step 6: Final answer
    x = 1,542.40

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