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Finding the Fourth Proportional to 5,215.14, 7,815.96 and 3,978

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Solution

The fourth proportional to 5,215.14, 7,815.96 and 3,978 is: 5,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.14 : 7,815.96 = 3,978 : x
  2. Step 2: Convert to fraction form
    5,215.14/7,815.96 = 3,978/x
  3. Step 3: Cross multiply
    5,215.14x = 7,815.96 × 3,978
  4. Step 4: Simplify right side
    5,215.14x = 31,091,888.88
  5. Step 5: Solve for x
    x = 31,091,888.88/5,215.14
  6. Step 6: Final answer
    x = 5,961.85

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