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Finding the Fourth Proportional to 4,596.17, 6,896.53 and 1,822.78

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Solution

The fourth proportional to 4,596.17, 6,896.53 and 1,822.78 is: 2,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.17 : 6,896.53 = 1,822.78 : x
  2. Step 2: Convert to fraction form
    4,596.17/6,896.53 = 1,822.78/x
  3. Step 3: Cross multiply
    4,596.17x = 6,896.53 × 1,822.78
  4. Step 4: Simplify right side
    4,596.17x = 12,570,856.95
  5. Step 5: Solve for x
    x = 12,570,856.95/4,596.17
  6. Step 6: Final answer
    x = 2,735.07

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