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Finding the Fourth Proportional to 5,737.73, 7,917.10 and 3,380.34

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Solution

The fourth proportional to 5,737.73, 7,917.10 and 3,380.34 is: 4,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.73 : 7,917.10 = 3,380.34 : x
  2. Step 2: Convert to fraction form
    5,737.73/7,917.10 = 3,380.34/x
  3. Step 3: Cross multiply
    5,737.73x = 7,917.10 × 3,380.34
  4. Step 4: Simplify right side
    5,737.73x = 26,762,489.81
  5. Step 5: Solve for x
    x = 26,762,489.81/5,737.73
  6. Step 6: Final answer
    x = 4,664.30

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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.