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Finding the Fourth Proportional to 5,850.38, 8,074.96 and 3,864.26

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Solution

The fourth proportional to 5,850.38, 8,074.96 and 3,864.26 is: 5,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.38 : 8,074.96 = 3,864.26 : x
  2. Step 2: Convert to fraction form
    5,850.38/8,074.96 = 3,864.26/x
  3. Step 3: Cross multiply
    5,850.38x = 8,074.96 × 3,864.26
  4. Step 4: Simplify right side
    5,850.38x = 31,203,744.93
  5. Step 5: Solve for x
    x = 31,203,744.93/5,850.38
  6. Step 6: Final answer
    x = 5,333.63

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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.