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Finding the Fourth Proportional to 5,208.94, 7,813.16 and 1,921.82

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Solution

The fourth proportional to 5,208.94, 7,813.16 and 1,921.82 is: 2,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.94 : 7,813.16 = 1,921.82 : x
  2. Step 2: Convert to fraction form
    5,208.94/7,813.16 = 1,921.82/x
  3. Step 3: Cross multiply
    5,208.94x = 7,813.16 × 1,921.82
  4. Step 4: Simplify right side
    5,208.94x = 15,015,487.15
  5. Step 5: Solve for x
    x = 15,015,487.15/5,208.94
  6. Step 6: Final answer
    x = 2,882.64

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