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Finding the Fourth Proportional to 3,473.99, 4,794.38 and 1,981.56

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Solution

The fourth proportional to 3,473.99, 4,794.38 and 1,981.56 is: 2,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.99 : 4,794.38 = 1,981.56 : x
  2. Step 2: Convert to fraction form
    3,473.99/4,794.38 = 1,981.56/x
  3. Step 3: Cross multiply
    3,473.99x = 4,794.38 × 1,981.56
  4. Step 4: Simplify right side
    3,473.99x = 9,500,367.13
  5. Step 5: Solve for x
    x = 9,500,367.13/3,473.99
  6. Step 6: Final answer
    x = 2,734.71

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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.