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Finding the Fourth Proportional to 5,380.83, 8,071.22 and 2,096.22

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Solution

The fourth proportional to 5,380.83, 8,071.22 and 2,096.22 is: 3,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.83 : 8,071.22 = 2,096.22 : x
  2. Step 2: Convert to fraction form
    5,380.83/8,071.22 = 2,096.22/x
  3. Step 3: Cross multiply
    5,380.83x = 8,071.22 × 2,096.22
  4. Step 4: Simplify right side
    5,380.83x = 16,919,042.31
  5. Step 5: Solve for x
    x = 16,919,042.31/5,380.83
  6. Step 6: Final answer
    x = 3,144.32

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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.