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Finding the Fourth Proportional to 7,105.78, 9,806.03 and 3,919.20

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Solution

The fourth proportional to 7,105.78, 9,806.03 and 3,919.20 is: 5,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.78 : 9,806.03 = 3,919.20 : x
  2. Step 2: Convert to fraction form
    7,105.78/9,806.03 = 3,919.20/x
  3. Step 3: Cross multiply
    7,105.78x = 9,806.03 × 3,919.20
  4. Step 4: Simplify right side
    7,105.78x = 38,431,751.10
  5. Step 5: Solve for x
    x = 38,431,751.10/7,105.78
  6. Step 6: Final answer
    x = 5,408.52

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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.