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Finding the Fourth Proportional to 5,839.13, 8,058 and 3,743.25

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Solution

The fourth proportional to 5,839.13, 8,058 and 3,743.25 is: 5,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.13 : 8,058 = 3,743.25 : x
  2. Step 2: Convert to fraction form
    5,839.13/8,058 = 3,743.25/x
  3. Step 3: Cross multiply
    5,839.13x = 8,058 × 3,743.25
  4. Step 4: Simplify right side
    5,839.13x = 30,163,108.50
  5. Step 5: Solve for x
    x = 30,163,108.50/5,839.13
  6. Step 6: Final answer
    x = 5,165.69

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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.