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Finding the Fourth Proportional to 5,737.77, 7,918.29 and 3,380.09

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Solution

The fourth proportional to 5,737.77, 7,918.29 and 3,380.09 is: 4,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.77 : 7,918.29 = 3,380.09 : x
  2. Step 2: Convert to fraction form
    5,737.77/7,918.29 = 3,380.09/x
  3. Step 3: Cross multiply
    5,737.77x = 7,918.29 × 3,380.09
  4. Step 4: Simplify right side
    5,737.77x = 26,764,493.25
  5. Step 5: Solve for x
    x = 26,764,493.25/5,737.77
  6. Step 6: Final answer
    x = 4,664.62

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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.