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Finding the Fourth Proportional to 4,297.50, 5,930.10 and 2,408.92

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Solution

The fourth proportional to 4,297.50, 5,930.10 and 2,408.92 is: 3,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.50 : 5,930.10 = 2,408.92 : x
  2. Step 2: Convert to fraction form
    4,297.50/5,930.10 = 2,408.92/x
  3. Step 3: Cross multiply
    4,297.50x = 5,930.10 × 2,408.92
  4. Step 4: Simplify right side
    4,297.50x = 14,285,136.49
  5. Step 5: Solve for x
    x = 14,285,136.49/4,297.50
  6. Step 6: Final answer
    x = 3,324.06

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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.