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Finding the Fourth Proportional to 5,338.20, 8,008.42 and 1,827.92

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Solution

The fourth proportional to 5,338.20, 8,008.42 and 1,827.92 is: 2,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.20 : 8,008.42 = 1,827.92 : x
  2. Step 2: Convert to fraction form
    5,338.20/8,008.42 = 1,827.92/x
  3. Step 3: Cross multiply
    5,338.20x = 8,008.42 × 1,827.92
  4. Step 4: Simplify right side
    5,338.20x = 14,638,751.09
  5. Step 5: Solve for x
    x = 14,638,751.09/5,338.20
  6. Step 6: Final answer
    x = 2,742.26

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