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Finding the Fourth Proportional to 3,940.20, 5,902.74 and 3,808.32

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Solution

The fourth proportional to 3,940.20, 5,902.74 and 3,808.32 is: 5,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.20 : 5,902.74 = 3,808.32 : x
  2. Step 2: Convert to fraction form
    3,940.20/5,902.74 = 3,808.32/x
  3. Step 3: Cross multiply
    3,940.20x = 5,902.74 × 3,808.32
  4. Step 4: Simplify right side
    3,940.20x = 22,479,522.80
  5. Step 5: Solve for x
    x = 22,479,522.80/3,940.20
  6. Step 6: Final answer
    x = 5,705.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.