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Finding the Fourth Proportional to 4,944.38, 6,819.39 and 2,954.51

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Solution

The fourth proportional to 4,944.38, 6,819.39 and 2,954.51 is: 4,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.38 : 6,819.39 = 2,954.51 : x
  2. Step 2: Convert to fraction form
    4,944.38/6,819.39 = 2,954.51/x
  3. Step 3: Cross multiply
    4,944.38x = 6,819.39 × 2,954.51
  4. Step 4: Simplify right side
    4,944.38x = 20,147,955.95
  5. Step 5: Solve for x
    x = 20,147,955.95/4,944.38
  6. Step 6: Final answer
    x = 4,074.92

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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.