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Finding the Fourth Proportional to 3,756.92, 5,185.82 and 2,186.33

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Solution

The fourth proportional to 3,756.92, 5,185.82 and 2,186.33 is: 3,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.92 : 5,185.82 = 2,186.33 : x
  2. Step 2: Convert to fraction form
    3,756.92/5,185.82 = 2,186.33/x
  3. Step 3: Cross multiply
    3,756.92x = 5,185.82 × 2,186.33
  4. Step 4: Simplify right side
    3,756.92x = 11,337,893.38
  5. Step 5: Solve for x
    x = 11,337,893.38/3,756.92
  6. Step 6: Final answer
    x = 3,017.87

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Why These Related Problems?

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