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Finding the Fourth Proportional to 5,839.34, 8,058.42 and 3,186.99

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Solution

The fourth proportional to 5,839.34, 8,058.42 and 3,186.99 is: 4,398.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.34 : 8,058.42 = 3,186.99 : x
  2. Step 2: Convert to fraction form
    5,839.34/8,058.42 = 3,186.99/x
  3. Step 3: Cross multiply
    5,839.34x = 8,058.42 × 3,186.99
  4. Step 4: Simplify right side
    5,839.34x = 25,682,103.96
  5. Step 5: Solve for x
    x = 25,682,103.96/5,839.34
  6. Step 6: Final answer
    x = 4,398.12

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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.