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Finding the Fourth Proportional to 4,978, 7,467.96 and 2,242

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Solution

The fourth proportional to 4,978, 7,467.96 and 2,242 is: 3,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978 : 7,467.96 = 2,242 : x
  2. Step 2: Convert to fraction form
    4,978/7,467.96 = 2,242/x
  3. Step 3: Cross multiply
    4,978x = 7,467.96 × 2,242
  4. Step 4: Simplify right side
    4,978x = 16,743,166.32
  5. Step 5: Solve for x
    x = 16,743,166.32/4,978
  6. Step 6: Final answer
    x = 3,363.43

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