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Finding the Fourth Proportional to 3,349.10, 5,003.84 and 3,234.26

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Solution

The fourth proportional to 3,349.10, 5,003.84 and 3,234.26 is: 4,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.10 : 5,003.84 = 3,234.26 : x
  2. Step 2: Convert to fraction form
    3,349.10/5,003.84 = 3,234.26/x
  3. Step 3: Cross multiply
    3,349.10x = 5,003.84 × 3,234.26
  4. Step 4: Simplify right side
    3,349.10x = 16,183,719.56
  5. Step 5: Solve for x
    x = 16,183,719.56/3,349.10
  6. Step 6: Final answer
    x = 4,832.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.