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Finding the Fourth Proportional to 5,839.18, 8,058.03 and 3,186.53

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Solution

The fourth proportional to 5,839.18, 8,058.03 and 3,186.53 is: 4,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.18 : 8,058.03 = 3,186.53 : x
  2. Step 2: Convert to fraction form
    5,839.18/8,058.03 = 3,186.53/x
  3. Step 3: Cross multiply
    5,839.18x = 8,058.03 × 3,186.53
  4. Step 4: Simplify right side
    5,839.18x = 25,677,138.40
  5. Step 5: Solve for x
    x = 25,677,138.40/5,839.18
  6. Step 6: Final answer
    x = 4,397.39

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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.