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Finding the Fourth Proportional to 3,753.77, 5,180.42 and 3,224.80

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Solution

The fourth proportional to 3,753.77, 5,180.42 and 3,224.80 is: 4,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.77 : 5,180.42 = 3,224.80 : x
  2. Step 2: Convert to fraction form
    3,753.77/5,180.42 = 3,224.80/x
  3. Step 3: Cross multiply
    3,753.77x = 5,180.42 × 3,224.80
  4. Step 4: Simplify right side
    3,753.77x = 16,705,776.39
  5. Step 5: Solve for x
    x = 16,705,776.39/3,753.77
  6. Step 6: Final answer
    x = 4,450.40

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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.