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Finding the Fourth Proportional to 3,682.78, 5,081.88 and 2,110.57

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Solution

The fourth proportional to 3,682.78, 5,081.88 and 2,110.57 is: 2,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.78 : 5,081.88 = 2,110.57 : x
  2. Step 2: Convert to fraction form
    3,682.78/5,081.88 = 2,110.57/x
  3. Step 3: Cross multiply
    3,682.78x = 5,081.88 × 2,110.57
  4. Step 4: Simplify right side
    3,682.78x = 10,725,663.47
  5. Step 5: Solve for x
    x = 10,725,663.47/3,682.78
  6. Step 6: Final answer
    x = 2,912.38

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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.