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Finding the Fourth Proportional to 3,755.80, 5,183.14 and 2,077.28

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Solution

The fourth proportional to 3,755.80, 5,183.14 and 2,077.28 is: 2,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.80 : 5,183.14 = 2,077.28 : x
  2. Step 2: Convert to fraction form
    3,755.80/5,183.14 = 2,077.28/x
  3. Step 3: Cross multiply
    3,755.80x = 5,183.14 × 2,077.28
  4. Step 4: Simplify right side
    3,755.80x = 10,766,833.06
  5. Step 5: Solve for x
    x = 10,766,833.06/3,755.80
  6. Step 6: Final answer
    x = 2,866.72

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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.