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Finding the Fourth Proportional to 5,839.16, 8,057.76 and 3,186.42

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Solution

The fourth proportional to 5,839.16, 8,057.76 and 3,186.42 is: 4,397.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.16 : 8,057.76 = 3,186.42 : x
  2. Step 2: Convert to fraction form
    5,839.16/8,057.76 = 3,186.42/x
  3. Step 3: Cross multiply
    5,839.16x = 8,057.76 × 3,186.42
  4. Step 4: Simplify right side
    5,839.16x = 25,675,407.62
  5. Step 5: Solve for x
    x = 25,675,407.62/5,839.16
  6. Step 6: Final answer
    x = 4,397.11

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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.