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Finding the Fourth Proportional to 3,682.59, 5,081.70 and 2,110.38

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Solution

The fourth proportional to 3,682.59, 5,081.70 and 2,110.38 is: 2,912.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.59 : 5,081.70 = 2,110.38 : x
  2. Step 2: Convert to fraction form
    3,682.59/5,081.70 = 2,110.38/x
  3. Step 3: Cross multiply
    3,682.59x = 5,081.70 × 2,110.38
  4. Step 4: Simplify right side
    3,682.59x = 10,724,318.05
  5. Step 5: Solve for x
    x = 10,724,318.05/3,682.59
  6. Step 6: Final answer
    x = 2,912.17

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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.