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Finding the Fourth Proportional to 4,548.06, 6,823.80 and 1,627.20

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Solution

The fourth proportional to 4,548.06, 6,823.80 and 1,627.20 is: 2,441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.06 : 6,823.80 = 1,627.20 : x
  2. Step 2: Convert to fraction form
    4,548.06/6,823.80 = 1,627.20/x
  3. Step 3: Cross multiply
    4,548.06x = 6,823.80 × 1,627.20
  4. Step 4: Simplify right side
    4,548.06x = 11,103,687.36
  5. Step 5: Solve for x
    x = 11,103,687.36/4,548.06
  6. Step 6: Final answer
    x = 2,441.41

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