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Finding the Fourth Proportional to 5,563.54, 8,344.50 and 3,096.82

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Solution

The fourth proportional to 5,563.54, 8,344.50 and 3,096.82 is: 4,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.54 : 8,344.50 = 3,096.82 : x
  2. Step 2: Convert to fraction form
    5,563.54/8,344.50 = 3,096.82/x
  3. Step 3: Cross multiply
    5,563.54x = 8,344.50 × 3,096.82
  4. Step 4: Simplify right side
    5,563.54x = 25,841,414.49
  5. Step 5: Solve for x
    x = 25,841,414.49/5,563.54
  6. Step 6: Final answer
    x = 4,644.78

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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.