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Finding the Fourth Proportional to 3,761.25, 5,190.53 and 2,105.25

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Solution

The fourth proportional to 3,761.25, 5,190.53 and 2,105.25 is: 2,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.25 : 5,190.53 = 2,105.25 : x
  2. Step 2: Convert to fraction form
    3,761.25/5,190.53 = 2,105.25/x
  3. Step 3: Cross multiply
    3,761.25x = 5,190.53 × 2,105.25
  4. Step 4: Simplify right side
    3,761.25x = 10,927,352.76
  5. Step 5: Solve for x
    x = 10,927,352.76/3,761.25
  6. Step 6: Final answer
    x = 2,905.25

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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.