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Finding the Fourth Proportional to 3,761.48, 5,189.94 and 2,105.48

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Solution

The fourth proportional to 3,761.48, 5,189.94 and 2,105.48 is: 2,905.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.48 : 5,189.94 = 2,105.48 : x
  2. Step 2: Convert to fraction form
    3,761.48/5,189.94 = 2,105.48/x
  3. Step 3: Cross multiply
    3,761.48x = 5,189.94 × 2,105.48
  4. Step 4: Simplify right side
    3,761.48x = 10,927,314.87
  5. Step 5: Solve for x
    x = 10,927,314.87/3,761.48
  6. Step 6: Final answer
    x = 2,905.06

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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.