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Finding the Fourth Proportional to 3,096.45, 4,647.11 and 1,149.21

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Solution

The fourth proportional to 3,096.45, 4,647.11 and 1,149.21 is: 1,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.45 : 4,647.11 = 1,149.21 : x
  2. Step 2: Convert to fraction form
    3,096.45/4,647.11 = 1,149.21/x
  3. Step 3: Cross multiply
    3,096.45x = 4,647.11 × 1,149.21
  4. Step 4: Simplify right side
    3,096.45x = 5,340,499.54
  5. Step 5: Solve for x
    x = 5,340,499.54/3,096.45
  6. Step 6: Final answer
    x = 1,724.72

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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.