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Finding the Fourth Proportional to 3,977.92, 5,998.73 and 3,923.23

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Solution

The fourth proportional to 3,977.92, 5,998.73 and 3,923.23 is: 5,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.92 : 5,998.73 = 3,923.23 : x
  2. Step 2: Convert to fraction form
    3,977.92/5,998.73 = 3,923.23/x
  3. Step 3: Cross multiply
    3,977.92x = 5,998.73 × 3,923.23
  4. Step 4: Simplify right side
    3,977.92x = 23,534,397.50
  5. Step 5: Solve for x
    x = 23,534,397.50/3,977.92
  6. Step 6: Final answer
    x = 5,916.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.