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Finding the Fourth Proportional to 3,755.75, 5,182.98 and 2,077.30

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Solution

The fourth proportional to 3,755.75, 5,182.98 and 2,077.30 is: 2,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.75 : 5,182.98 = 2,077.30 : x
  2. Step 2: Convert to fraction form
    3,755.75/5,182.98 = 2,077.30/x
  3. Step 3: Cross multiply
    3,755.75x = 5,182.98 × 2,077.30
  4. Step 4: Simplify right side
    3,755.75x = 10,766,578.44
  5. Step 5: Solve for x
    x = 10,766,578.44/3,755.75
  6. Step 6: Final answer
    x = 2,866.69

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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.