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Finding the Fourth Proportional to 5,921.84, 8,171.90 and 3,269.22

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Solution

The fourth proportional to 5,921.84, 8,171.90 and 3,269.22 is: 4,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.84 : 8,171.90 = 3,269.22 : x
  2. Step 2: Convert to fraction form
    5,921.84/8,171.90 = 3,269.22/x
  3. Step 3: Cross multiply
    5,921.84x = 8,171.90 × 3,269.22
  4. Step 4: Simplify right side
    5,921.84x = 26,715,738.92
  5. Step 5: Solve for x
    x = 26,715,738.92/5,921.84
  6. Step 6: Final answer
    x = 4,511.39

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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.