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Finding the Fourth Proportional to 3,856.85, 5,779.80 and 2,819.24

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Solution

The fourth proportional to 3,856.85, 5,779.80 and 2,819.24 is: 4,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.85 : 5,779.80 = 2,819.24 : x
  2. Step 2: Convert to fraction form
    3,856.85/5,779.80 = 2,819.24/x
  3. Step 3: Cross multiply
    3,856.85x = 5,779.80 × 2,819.24
  4. Step 4: Simplify right side
    3,856.85x = 16,294,614.45
  5. Step 5: Solve for x
    x = 16,294,614.45/3,856.85
  6. Step 6: Final answer
    x = 4,224.86

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