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Finding the Fourth Proportional to 4,926.56, 7,388.28 and 1,638.80

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Solution

The fourth proportional to 4,926.56, 7,388.28 and 1,638.80 is: 2,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,926.56 : 7,388.28 = 1,638.80 : x
  2. Step 2: Convert to fraction form
    4,926.56/7,388.28 = 1,638.80/x
  3. Step 3: Cross multiply
    4,926.56x = 7,388.28 × 1,638.80
  4. Step 4: Simplify right side
    4,926.56x = 12,107,913.26
  5. Step 5: Solve for x
    x = 12,107,913.26/4,926.56
  6. Step 6: Final answer
    x = 2,457.68

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