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Finding the Fourth Proportional to 3,701.74, 5,108.46 and 2,023.21

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Solution

The fourth proportional to 3,701.74, 5,108.46 and 2,023.21 is: 2,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.74 : 5,108.46 = 2,023.21 : x
  2. Step 2: Convert to fraction form
    3,701.74/5,108.46 = 2,023.21/x
  3. Step 3: Cross multiply
    3,701.74x = 5,108.46 × 2,023.21
  4. Step 4: Simplify right side
    3,701.74x = 10,335,487.36
  5. Step 5: Solve for x
    x = 10,335,487.36/3,701.74
  6. Step 6: Final answer
    x = 2,792.06

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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.