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Finding the Fourth Proportional to 5,839.12, 8,057.94 and 3,186.47

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Solution

The fourth proportional to 5,839.12, 8,057.94 and 3,186.47 is: 4,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.12 : 8,057.94 = 3,186.47 : x
  2. Step 2: Convert to fraction form
    5,839.12/8,057.94 = 3,186.47/x
  3. Step 3: Cross multiply
    5,839.12x = 8,057.94 × 3,186.47
  4. Step 4: Simplify right side
    5,839.12x = 25,676,343.78
  5. Step 5: Solve for x
    x = 25,676,343.78/5,839.12
  6. Step 6: Final answer
    x = 4,397.30

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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.