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Finding the Fourth Proportional to 5,170.14, 7,755.30 and 2,876.22

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Solution

The fourth proportional to 5,170.14, 7,755.30 and 2,876.22 is: 4,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.14 : 7,755.30 = 2,876.22 : x
  2. Step 2: Convert to fraction form
    5,170.14/7,755.30 = 2,876.22/x
  3. Step 3: Cross multiply
    5,170.14x = 7,755.30 × 2,876.22
  4. Step 4: Simplify right side
    5,170.14x = 22,305,948.97
  5. Step 5: Solve for x
    x = 22,305,948.97/5,170.14
  6. Step 6: Final answer
    x = 4,314.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.