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Finding the Fourth Proportional to 3,995.22, 5,511.38 and 3,049.37

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Solution

The fourth proportional to 3,995.22, 5,511.38 and 3,049.37 is: 4,206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.22 : 5,511.38 = 3,049.37 : x
  2. Step 2: Convert to fraction form
    3,995.22/5,511.38 = 3,049.37/x
  3. Step 3: Cross multiply
    3,995.22x = 5,511.38 × 3,049.37
  4. Step 4: Simplify right side
    3,995.22x = 16,806,214.69
  5. Step 5: Solve for x
    x = 16,806,214.69/3,995.22
  6. Step 6: Final answer
    x = 4,206.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.