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Finding the Fourth Proportional to 4,942, 6,819.96 and 2,734

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Solution

The fourth proportional to 4,942, 6,819.96 and 2,734 is: 3,772.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942 : 6,819.96 = 2,734 : x
  2. Step 2: Convert to fraction form
    4,942/6,819.96 = 2,734/x
  3. Step 3: Cross multiply
    4,942x = 6,819.96 × 2,734
  4. Step 4: Simplify right side
    4,942x = 18,645,770.64
  5. Step 5: Solve for x
    x = 18,645,770.64/4,942
  6. Step 6: Final answer
    x = 3,772.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.