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Finding the Fourth Proportional to 2,892.63, 3,976.42 and 2,874.41

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Solution

The fourth proportional to 2,892.63, 3,976.42 and 2,874.41 is: 3,951.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.63 : 3,976.42 = 2,874.41 : x
  2. Step 2: Convert to fraction form
    2,892.63/3,976.42 = 2,874.41/x
  3. Step 3: Cross multiply
    2,892.63x = 3,976.42 × 2,874.41
  4. Step 4: Simplify right side
    2,892.63x = 11,429,861.41
  5. Step 5: Solve for x
    x = 11,429,861.41/2,892.63
  6. Step 6: Final answer
    x = 3,951.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.