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Finding the Fourth Proportional to 3,999.24, 5,999.09 and 1,077.77

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Solution

The fourth proportional to 3,999.24, 5,999.09 and 1,077.77 is: 1,616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.24 : 5,999.09 = 1,077.77 : x
  2. Step 2: Convert to fraction form
    3,999.24/5,999.09 = 1,077.77/x
  3. Step 3: Cross multiply
    3,999.24x = 5,999.09 × 1,077.77
  4. Step 4: Simplify right side
    3,999.24x = 6,465,648.84
  5. Step 5: Solve for x
    x = 6,465,648.84/3,999.24
  6. Step 6: Final answer
    x = 1,616.72

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