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Finding the Fourth Proportional to 3,640.22, 5,018.42 and 3,078.44

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Solution

The fourth proportional to 3,640.22, 5,018.42 and 3,078.44 is: 4,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.22 : 5,018.42 = 3,078.44 : x
  2. Step 2: Convert to fraction form
    3,640.22/5,018.42 = 3,078.44/x
  3. Step 3: Cross multiply
    3,640.22x = 5,018.42 × 3,078.44
  4. Step 4: Simplify right side
    3,640.22x = 15,448,864.38
  5. Step 5: Solve for x
    x = 15,448,864.38/3,640.22
  6. Step 6: Final answer
    x = 4,243.94

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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.