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Finding the Fourth Proportional to 3,949.05, 5,894.67 and 3,481.98

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Solution

The fourth proportional to 3,949.05, 5,894.67 and 3,481.98 is: 5,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.05 : 5,894.67 = 3,481.98 : x
  2. Step 2: Convert to fraction form
    3,949.05/5,894.67 = 3,481.98/x
  3. Step 3: Cross multiply
    3,949.05x = 5,894.67 × 3,481.98
  4. Step 4: Simplify right side
    3,949.05x = 20,525,109.99
  5. Step 5: Solve for x
    x = 20,525,109.99/3,949.05
  6. Step 6: Final answer
    x = 5,197.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.