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Finding the Fourth Proportional to 5,311.84, 7,969.20 and 1,849.36

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Solution

The fourth proportional to 5,311.84, 7,969.20 and 1,849.36 is: 2,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.84 : 7,969.20 = 1,849.36 : x
  2. Step 2: Convert to fraction form
    5,311.84/7,969.20 = 1,849.36/x
  3. Step 3: Cross multiply
    5,311.84x = 7,969.20 × 1,849.36
  4. Step 4: Simplify right side
    5,311.84x = 14,737,919.71
  5. Step 5: Solve for x
    x = 14,737,919.71/5,311.84
  6. Step 6: Final answer
    x = 2,774.54

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