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Finding the Fourth Proportional to 3,798.28, 5,696.82 and 1,200.64

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Solution

The fourth proportional to 3,798.28, 5,696.82 and 1,200.64 is: 1,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.28 : 5,696.82 = 1,200.64 : x
  2. Step 2: Convert to fraction form
    3,798.28/5,696.82 = 1,200.64/x
  3. Step 3: Cross multiply
    3,798.28x = 5,696.82 × 1,200.64
  4. Step 4: Simplify right side
    3,798.28x = 6,839,829.96
  5. Step 5: Solve for x
    x = 6,839,829.96/3,798.28
  6. Step 6: Final answer
    x = 1,800.77

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