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Finding the Fourth Proportional to 5,329, 7,996.74 and 2,251

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Solution

The fourth proportional to 5,329, 7,996.74 and 2,251 is: 3,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329 : 7,996.74 = 2,251 : x
  2. Step 2: Convert to fraction form
    5,329/7,996.74 = 2,251/x
  3. Step 3: Cross multiply
    5,329x = 7,996.74 × 2,251
  4. Step 4: Simplify right side
    5,329x = 18,000,661.74
  5. Step 5: Solve for x
    x = 18,000,661.74/5,329
  6. Step 6: Final answer
    x = 3,377.87

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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.