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Finding the Fourth Proportional to 3,877.35, 5,350.68 and 2,109

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Solution

The fourth proportional to 3,877.35, 5,350.68 and 2,109 is: 2,910.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.35 : 5,350.68 = 2,109 : x
  2. Step 2: Convert to fraction form
    3,877.35/5,350.68 = 2,109/x
  3. Step 3: Cross multiply
    3,877.35x = 5,350.68 × 2,109
  4. Step 4: Simplify right side
    3,877.35x = 11,284,584.12
  5. Step 5: Solve for x
    x = 11,284,584.12/3,877.35
  6. Step 6: Final answer
    x = 2,910.39

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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.