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Finding the Fourth Proportional to 5,338.24, 8,008.62 and 1,828.28

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Solution

The fourth proportional to 5,338.24, 8,008.62 and 1,828.28 is: 2,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.24 : 8,008.62 = 1,828.28 : x
  2. Step 2: Convert to fraction form
    5,338.24/8,008.62 = 1,828.28/x
  3. Step 3: Cross multiply
    5,338.24x = 8,008.62 × 1,828.28
  4. Step 4: Simplify right side
    5,338.24x = 14,641,999.77
  5. Step 5: Solve for x
    x = 14,641,999.77/5,338.24
  6. Step 6: Final answer
    x = 2,742.85

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