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Finding the Fourth Proportional to 5,481.68, 8,214.42 and 2,559.20

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Solution

The fourth proportional to 5,481.68, 8,214.42 and 2,559.20 is: 3,835.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.68 : 8,214.42 = 2,559.20 : x
  2. Step 2: Convert to fraction form
    5,481.68/8,214.42 = 2,559.20/x
  3. Step 3: Cross multiply
    5,481.68x = 8,214.42 × 2,559.20
  4. Step 4: Simplify right side
    5,481.68x = 21,022,343.66
  5. Step 5: Solve for x
    x = 21,022,343.66/5,481.68
  6. Step 6: Final answer
    x = 3,835.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.