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Finding the Fourth Proportional to 5,790.50, 7,997.49 and 3,924.26

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Solution

The fourth proportional to 5,790.50, 7,997.49 and 3,924.26 is: 5,419.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,790.50 : 7,997.49 = 3,924.26 : x
  2. Step 2: Convert to fraction form
    5,790.50/7,997.49 = 3,924.26/x
  3. Step 3: Cross multiply
    5,790.50x = 7,997.49 × 3,924.26
  4. Step 4: Simplify right side
    5,790.50x = 31,384,230.11
  5. Step 5: Solve for x
    x = 31,384,230.11/5,790.50
  6. Step 6: Final answer
    x = 5,419.95

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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.