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Finding the Fourth Proportional to 5,839.14, 8,058.20 and 3,321.62

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Solution

The fourth proportional to 5,839.14, 8,058.20 and 3,321.62 is: 4,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.14 : 8,058.20 = 3,321.62 : x
  2. Step 2: Convert to fraction form
    5,839.14/8,058.20 = 3,321.62/x
  3. Step 3: Cross multiply
    5,839.14x = 8,058.20 × 3,321.62
  4. Step 4: Simplify right side
    5,839.14x = 26,766,221.38
  5. Step 5: Solve for x
    x = 26,766,221.38/5,839.14
  6. Step 6: Final answer
    x = 4,583.93

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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.