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Finding the Fourth Proportional to 3,696.92, 5,101.90 and 2,018.44

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Solution

The fourth proportional to 3,696.92, 5,101.90 and 2,018.44 is: 2,785.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,696.92 : 5,101.90 = 2,018.44 : x
  2. Step 2: Convert to fraction form
    3,696.92/5,101.90 = 2,018.44/x
  3. Step 3: Cross multiply
    3,696.92x = 5,101.90 × 2,018.44
  4. Step 4: Simplify right side
    3,696.92x = 10,297,879.04
  5. Step 5: Solve for x
    x = 10,297,879.04/3,696.92
  6. Step 6: Final answer
    x = 2,785.53

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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.