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Finding the Fourth Proportional to 5,338.49, 8,007.12 and 2,049.27

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Solution

The fourth proportional to 5,338.49, 8,007.12 and 2,049.27 is: 3,073.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.49 : 8,007.12 = 2,049.27 : x
  2. Step 2: Convert to fraction form
    5,338.49/8,007.12 = 2,049.27/x
  3. Step 3: Cross multiply
    5,338.49x = 8,007.12 × 2,049.27
  4. Step 4: Simplify right side
    5,338.49x = 16,408,750.80
  5. Step 5: Solve for x
    x = 16,408,750.80/5,338.49
  6. Step 6: Final answer
    x = 3,073.67

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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.