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Finding the Fourth Proportional to 3,899.76, 5,849.82 and 978.09

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Solution

The fourth proportional to 3,899.76, 5,849.82 and 978.09 is: 1,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.76 : 5,849.82 = 978.09 : x
  2. Step 2: Convert to fraction form
    3,899.76/5,849.82 = 978.09/x
  3. Step 3: Cross multiply
    3,899.76x = 5,849.82 × 978.09
  4. Step 4: Simplify right side
    3,899.76x = 5,721,650.44
  5. Step 5: Solve for x
    x = 5,721,650.44/3,899.76
  6. Step 6: Final answer
    x = 1,467.18

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