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Finding the Fourth Proportional to 4,297.28, 5,930.07 and 2,408.90

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Solution

The fourth proportional to 4,297.28, 5,930.07 and 2,408.90 is: 3,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.28 : 5,930.07 = 2,408.90 : x
  2. Step 2: Convert to fraction form
    4,297.28/5,930.07 = 2,408.90/x
  3. Step 3: Cross multiply
    4,297.28x = 5,930.07 × 2,408.90
  4. Step 4: Simplify right side
    4,297.28x = 14,284,945.62
  5. Step 5: Solve for x
    x = 14,284,945.62/4,297.28
  6. Step 6: Final answer
    x = 3,324.18

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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.