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Finding the Fourth Proportional to 3,906.02, 5,377.82 and 3,162.44

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Solution

The fourth proportional to 3,906.02, 5,377.82 and 3,162.44 is: 4,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.02 : 5,377.82 = 3,162.44 : x
  2. Step 2: Convert to fraction form
    3,906.02/5,377.82 = 3,162.44/x
  3. Step 3: Cross multiply
    3,906.02x = 5,377.82 × 3,162.44
  4. Step 4: Simplify right side
    3,906.02x = 17,006,990.38
  5. Step 5: Solve for x
    x = 17,006,990.38/3,906.02
  6. Step 6: Final answer
    x = 4,354.05

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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.