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Finding the Fourth Proportional to 4,234.09, 5,845.89 and 2,643.16

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Solution

The fourth proportional to 4,234.09, 5,845.89 and 2,643.16 is: 3,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.09 : 5,845.89 = 2,643.16 : x
  2. Step 2: Convert to fraction form
    4,234.09/5,845.89 = 2,643.16/x
  3. Step 3: Cross multiply
    4,234.09x = 5,845.89 × 2,643.16
  4. Step 4: Simplify right side
    4,234.09x = 15,451,593.38
  5. Step 5: Solve for x
    x = 15,451,593.38/4,234.09
  6. Step 6: Final answer
    x = 3,649.33

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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.