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Finding the Fourth Proportional to 5,185.88, 7,776.38 and 1,896.66

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Solution

The fourth proportional to 5,185.88, 7,776.38 and 1,896.66 is: 2,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.88 : 7,776.38 = 1,896.66 : x
  2. Step 2: Convert to fraction form
    5,185.88/7,776.38 = 1,896.66/x
  3. Step 3: Cross multiply
    5,185.88x = 7,776.38 × 1,896.66
  4. Step 4: Simplify right side
    5,185.88x = 14,749,139.41
  5. Step 5: Solve for x
    x = 14,749,139.41/5,185.88
  6. Step 6: Final answer
    x = 2,844.10

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