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Finding the Fourth Proportional to 3,940.56, 5,398.55 and 3,792.84

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Solution

The fourth proportional to 3,940.56, 5,398.55 and 3,792.84 is: 5,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.56 : 5,398.55 = 3,792.84 : x
  2. Step 2: Convert to fraction form
    3,940.56/5,398.55 = 3,792.84/x
  3. Step 3: Cross multiply
    3,940.56x = 5,398.55 × 3,792.84
  4. Step 4: Simplify right side
    3,940.56x = 20,475,817.42
  5. Step 5: Solve for x
    x = 20,475,817.42/3,940.56
  6. Step 6: Final answer
    x = 5,196.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.