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Finding the Fourth Proportional to 5,202.04, 7,798.60 and 2,278.12

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Solution

The fourth proportional to 5,202.04, 7,798.60 and 2,278.12 is: 3,415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.04 : 7,798.60 = 2,278.12 : x
  2. Step 2: Convert to fraction form
    5,202.04/7,798.60 = 2,278.12/x
  3. Step 3: Cross multiply
    5,202.04x = 7,798.60 × 2,278.12
  4. Step 4: Simplify right side
    5,202.04x = 17,766,146.63
  5. Step 5: Solve for x
    x = 17,766,146.63/5,202.04
  6. Step 6: Final answer
    x = 3,415.23

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