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Finding the Fourth Proportional to 5,839.36, 8,058.36 and 3,186.79

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Solution

The fourth proportional to 5,839.36, 8,058.36 and 3,186.79 is: 4,397.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.36 : 8,058.36 = 3,186.79 : x
  2. Step 2: Convert to fraction form
    5,839.36/8,058.36 = 3,186.79/x
  3. Step 3: Cross multiply
    5,839.36x = 8,058.36 × 3,186.79
  4. Step 4: Simplify right side
    5,839.36x = 25,680,301.06
  5. Step 5: Solve for x
    x = 25,680,301.06/5,839.36
  6. Step 6: Final answer
    x = 4,397.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.