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Finding the Fourth Proportional to 4,806.92, 6,634.14 and 2,711

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Solution

The fourth proportional to 4,806.92, 6,634.14 and 2,711 is: 3,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.92 : 6,634.14 = 2,711 : x
  2. Step 2: Convert to fraction form
    4,806.92/6,634.14 = 2,711/x
  3. Step 3: Cross multiply
    4,806.92x = 6,634.14 × 2,711
  4. Step 4: Simplify right side
    4,806.92x = 17,985,153.54
  5. Step 5: Solve for x
    x = 17,985,153.54/4,806.92
  6. Step 6: Final answer
    x = 3,741.51

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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.