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Finding the Fourth Proportional to 4,906.92, 6,771.51 and 2,811

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Solution

The fourth proportional to 4,906.92, 6,771.51 and 2,811 is: 3,879.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.92 : 6,771.51 = 2,811 : x
  2. Step 2: Convert to fraction form
    4,906.92/6,771.51 = 2,811/x
  3. Step 3: Cross multiply
    4,906.92x = 6,771.51 × 2,811
  4. Step 4: Simplify right side
    4,906.92x = 19,034,714.61
  5. Step 5: Solve for x
    x = 19,034,714.61/4,906.92
  6. Step 6: Final answer
    x = 3,879.16

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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.