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Finding the Fourth Proportional to 3,702.73, 5,109.78 and 2,109.31

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Solution

The fourth proportional to 3,702.73, 5,109.78 and 2,109.31 is: 2,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.73 : 5,109.78 = 2,109.31 : x
  2. Step 2: Convert to fraction form
    3,702.73/5,109.78 = 2,109.31/x
  3. Step 3: Cross multiply
    3,702.73x = 5,109.78 × 2,109.31
  4. Step 4: Simplify right side
    3,702.73x = 10,778,110.05
  5. Step 5: Solve for x
    x = 10,778,110.05/3,702.73
  6. Step 6: Final answer
    x = 2,910.85

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