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Finding the Fourth Proportional to 5,148.41, 7,722.72 and 1,638.41

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Solution

The fourth proportional to 5,148.41, 7,722.72 and 1,638.41 is: 2,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.41 : 7,722.72 = 1,638.41 : x
  2. Step 2: Convert to fraction form
    5,148.41/7,722.72 = 1,638.41/x
  3. Step 3: Cross multiply
    5,148.41x = 7,722.72 × 1,638.41
  4. Step 4: Simplify right side
    5,148.41x = 12,652,943.06
  5. Step 5: Solve for x
    x = 12,652,943.06/5,148.41
  6. Step 6: Final answer
    x = 2,457.64

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