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Finding the Fourth Proportional to 3,777.38, 5,212.79 and 2,098.74

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Solution

The fourth proportional to 3,777.38, 5,212.79 and 2,098.74 is: 2,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.38 : 5,212.79 = 2,098.74 : x
  2. Step 2: Convert to fraction form
    3,777.38/5,212.79 = 2,098.74/x
  3. Step 3: Cross multiply
    3,777.38x = 5,212.79 × 2,098.74
  4. Step 4: Simplify right side
    3,777.38x = 10,940,280.39
  5. Step 5: Solve for x
    x = 10,940,280.39/3,777.38
  6. Step 6: Final answer
    x = 2,896.26

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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.