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Finding the Fourth Proportional to 4,519.80, 6,745.82 and 4,224.56

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Solution

The fourth proportional to 4,519.80, 6,745.82 and 4,224.56 is: 6,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,519.80 : 6,745.82 = 4,224.56 : x
  2. Step 2: Convert to fraction form
    4,519.80/6,745.82 = 4,224.56/x
  3. Step 3: Cross multiply
    4,519.80x = 6,745.82 × 4,224.56
  4. Step 4: Simplify right side
    4,519.80x = 28,498,066.49
  5. Step 5: Solve for x
    x = 28,498,066.49/4,519.80
  6. Step 6: Final answer
    x = 6,305.16

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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.