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Finding the Fourth Proportional to 5,838.92, 8,057.68 and 3,186.48

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Solution

The fourth proportional to 5,838.92, 8,057.68 and 3,186.48 is: 4,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.92 : 8,057.68 = 3,186.48 : x
  2. Step 2: Convert to fraction form
    5,838.92/8,057.68 = 3,186.48/x
  3. Step 3: Cross multiply
    5,838.92x = 8,057.68 × 3,186.48
  4. Step 4: Simplify right side
    5,838.92x = 25,675,636.17
  5. Step 5: Solve for x
    x = 25,675,636.17/5,838.92
  6. Step 6: Final answer
    x = 4,397.33

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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.