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Finding the Fourth Proportional to 3,701.73, 5,108.37 and 2,023.14

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Solution

The fourth proportional to 3,701.73, 5,108.37 and 2,023.14 is: 2,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.73 : 5,108.37 = 2,023.14 : x
  2. Step 2: Convert to fraction form
    3,701.73/5,108.37 = 2,023.14/x
  3. Step 3: Cross multiply
    3,701.73x = 5,108.37 × 2,023.14
  4. Step 4: Simplify right side
    3,701.73x = 10,334,947.68
  5. Step 5: Solve for x
    x = 10,334,947.68/3,701.73
  6. Step 6: Final answer
    x = 2,791.92

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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.