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Finding the Fourth Proportional to 5,249.82, 7,869.33 and 2,329.50

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Solution

The fourth proportional to 5,249.82, 7,869.33 and 2,329.50 is: 3,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.82 : 7,869.33 = 2,329.50 : x
  2. Step 2: Convert to fraction form
    5,249.82/7,869.33 = 2,329.50/x
  3. Step 3: Cross multiply
    5,249.82x = 7,869.33 × 2,329.50
  4. Step 4: Simplify right side
    5,249.82x = 18,331,604.24
  5. Step 5: Solve for x
    x = 18,331,604.24/5,249.82
  6. Step 6: Final answer
    x = 3,491.85

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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.