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Finding the Fourth Proportional to 6,226, 8,591.88 and 3,742

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Solution

The fourth proportional to 6,226, 8,591.88 and 3,742 is: 5,163.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226 : 8,591.88 = 3,742 : x
  2. Step 2: Convert to fraction form
    6,226/8,591.88 = 3,742/x
  3. Step 3: Cross multiply
    6,226x = 8,591.88 × 3,742
  4. Step 4: Simplify right side
    6,226x = 32,150,814.96
  5. Step 5: Solve for x
    x = 32,150,814.96/6,226
  6. Step 6: Final answer
    x = 5,163.96

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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.