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Finding the Fourth Proportional to 5,441.48, 8,162.22 and 2,519

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Solution

The fourth proportional to 5,441.48, 8,162.22 and 2,519 is: 3,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.48 : 8,162.22 = 2,519 : x
  2. Step 2: Convert to fraction form
    5,441.48/8,162.22 = 2,519/x
  3. Step 3: Cross multiply
    5,441.48x = 8,162.22 × 2,519
  4. Step 4: Simplify right side
    5,441.48x = 20,560,632.18
  5. Step 5: Solve for x
    x = 20,560,632.18/5,441.48
  6. Step 6: Final answer
    x = 3,778.50

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Why These Related Problems?

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