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Finding the Fourth Proportional to 4,249.72, 5,859.54 and 3,659.24

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Solution

The fourth proportional to 4,249.72, 5,859.54 and 3,659.24 is: 5,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.72 : 5,859.54 = 3,659.24 : x
  2. Step 2: Convert to fraction form
    4,249.72/5,859.54 = 3,659.24/x
  3. Step 3: Cross multiply
    4,249.72x = 5,859.54 × 3,659.24
  4. Step 4: Simplify right side
    4,249.72x = 21,441,463.15
  5. Step 5: Solve for x
    x = 21,441,463.15/4,249.72
  6. Step 6: Final answer
    x = 5,045.38

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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.