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Finding the Fourth Proportional to 3,616.92, 4,991.46 and 2,023.53

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Solution

The fourth proportional to 3,616.92, 4,991.46 and 2,023.53 is: 2,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.92 : 4,991.46 = 2,023.53 : x
  2. Step 2: Convert to fraction form
    3,616.92/4,991.46 = 2,023.53/x
  3. Step 3: Cross multiply
    3,616.92x = 4,991.46 × 2,023.53
  4. Step 4: Simplify right side
    3,616.92x = 10,100,369.05
  5. Step 5: Solve for x
    x = 10,100,369.05/3,616.92
  6. Step 6: Final answer
    x = 2,792.53

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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.