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Finding the Fourth Proportional to 3,865.64, 5,798.67 and 1,092.53

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Solution

The fourth proportional to 3,865.64, 5,798.67 and 1,092.53 is: 1,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.64 : 5,798.67 = 1,092.53 : x
  2. Step 2: Convert to fraction form
    3,865.64/5,798.67 = 1,092.53/x
  3. Step 3: Cross multiply
    3,865.64x = 5,798.67 × 1,092.53
  4. Step 4: Simplify right side
    3,865.64x = 6,335,220.94
  5. Step 5: Solve for x
    x = 6,335,220.94/3,865.64
  6. Step 6: Final answer
    x = 1,638.85

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