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Finding the Fourth Proportional to 3,899.88, 5,849.70 and 978.18

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Solution

The fourth proportional to 3,899.88, 5,849.70 and 978.18 is: 1,467.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.88 : 5,849.70 = 978.18 : x
  2. Step 2: Convert to fraction form
    3,899.88/5,849.70 = 978.18/x
  3. Step 3: Cross multiply
    3,899.88x = 5,849.70 × 978.18
  4. Step 4: Simplify right side
    3,899.88x = 5,722,059.55
  5. Step 5: Solve for x
    x = 5,722,059.55/3,899.88
  6. Step 6: Final answer
    x = 1,467.24

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