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Finding the Fourth Proportional to 5,839.40, 8,058.12 and 3,186.68

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Solution

The fourth proportional to 5,839.40, 8,058.12 and 3,186.68 is: 4,397.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.40 : 8,058.12 = 3,186.68 : x
  2. Step 2: Convert to fraction form
    5,839.40/8,058.12 = 3,186.68/x
  3. Step 3: Cross multiply
    5,839.40x = 8,058.12 × 3,186.68
  4. Step 4: Simplify right side
    5,839.40x = 25,678,649.84
  5. Step 5: Solve for x
    x = 25,678,649.84/5,839.40
  6. Step 6: Final answer
    x = 4,397.48

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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.