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Finding the Fourth Proportional to 3,789.94, 5,230.02 and 3,678.16

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Solution

The fourth proportional to 3,789.94, 5,230.02 and 3,678.16 is: 5,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.94 : 5,230.02 = 3,678.16 : x
  2. Step 2: Convert to fraction form
    3,789.94/5,230.02 = 3,678.16/x
  3. Step 3: Cross multiply
    3,789.94x = 5,230.02 × 3,678.16
  4. Step 4: Simplify right side
    3,789.94x = 19,236,850.36
  5. Step 5: Solve for x
    x = 19,236,850.36/3,789.94
  6. Step 6: Final answer
    x = 5,075.77

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