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Finding the Fourth Proportional to 3,755.76, 5,182.83 and 2,077.26

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Solution

The fourth proportional to 3,755.76, 5,182.83 and 2,077.26 is: 2,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.76 : 5,182.83 = 2,077.26 : x
  2. Step 2: Convert to fraction form
    3,755.76/5,182.83 = 2,077.26/x
  3. Step 3: Cross multiply
    3,755.76x = 5,182.83 × 2,077.26
  4. Step 4: Simplify right side
    3,755.76x = 10,766,085.45
  5. Step 5: Solve for x
    x = 10,766,085.45/3,755.76
  6. Step 6: Final answer
    x = 2,866.55

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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.