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Finding the Fourth Proportional to 3,800.28, 5,699.76 and 1,202.64

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Solution

The fourth proportional to 3,800.28, 5,699.76 and 1,202.64 is: 1,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.28 : 5,699.76 = 1,202.64 : x
  2. Step 2: Convert to fraction form
    3,800.28/5,699.76 = 1,202.64/x
  3. Step 3: Cross multiply
    3,800.28x = 5,699.76 × 1,202.64
  4. Step 4: Simplify right side
    3,800.28x = 6,854,759.37
  5. Step 5: Solve for x
    x = 6,854,759.37/3,800.28
  6. Step 6: Final answer
    x = 1,803.75

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