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Finding the Fourth Proportional to 3,701.76, 5,108.27 and 2,023.09

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Solution

The fourth proportional to 3,701.76, 5,108.27 and 2,023.09 is: 2,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.76 : 5,108.27 = 2,023.09 : x
  2. Step 2: Convert to fraction form
    3,701.76/5,108.27 = 2,023.09/x
  3. Step 3: Cross multiply
    3,701.76x = 5,108.27 × 2,023.09
  4. Step 4: Simplify right side
    3,701.76x = 10,334,489.95
  5. Step 5: Solve for x
    x = 10,334,489.95/3,701.76
  6. Step 6: Final answer
    x = 2,791.78

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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.