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Finding the Fourth Proportional to 3,685.56, 5,086 and 2,006.96

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Solution

The fourth proportional to 3,685.56, 5,086 and 2,006.96 is: 2,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.56 : 5,086 = 2,006.96 : x
  2. Step 2: Convert to fraction form
    3,685.56/5,086 = 2,006.96/x
  3. Step 3: Cross multiply
    3,685.56x = 5,086 × 2,006.96
  4. Step 4: Simplify right side
    3,685.56x = 10,207,398.56
  5. Step 5: Solve for x
    x = 10,207,398.56/3,685.56
  6. Step 6: Final answer
    x = 2,769.57

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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.