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Finding the Fourth Proportional to 3,755.90, 5,182.91 and 2,077.17

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Solution

The fourth proportional to 3,755.90, 5,182.91 and 2,077.17 is: 2,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.90 : 5,182.91 = 2,077.17 : x
  2. Step 2: Convert to fraction form
    3,755.90/5,182.91 = 2,077.17/x
  3. Step 3: Cross multiply
    3,755.90x = 5,182.91 × 2,077.17
  4. Step 4: Simplify right side
    3,755.90x = 10,765,785.16
  5. Step 5: Solve for x
    x = 10,765,785.16/3,755.90
  6. Step 6: Final answer
    x = 2,866.37

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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.