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Finding the Fourth Proportional to 4,297.53, 5,930.07 and 2,408.96

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Solution

The fourth proportional to 4,297.53, 5,930.07 and 2,408.96 is: 3,324.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.53 : 5,930.07 = 2,408.96 : x
  2. Step 2: Convert to fraction form
    4,297.53/5,930.07 = 2,408.96/x
  3. Step 3: Cross multiply
    4,297.53x = 5,930.07 × 2,408.96
  4. Step 4: Simplify right side
    4,297.53x = 14,285,301.43
  5. Step 5: Solve for x
    x = 14,285,301.43/4,297.53
  6. Step 6: Final answer
    x = 3,324.07

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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.