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Finding the Fourth Proportional to 3,940.68, 5,445.98 and 3,231.42

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Solution

The fourth proportional to 3,940.68, 5,445.98 and 3,231.42 is: 4,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.68 : 5,445.98 = 3,231.42 : x
  2. Step 2: Convert to fraction form
    3,940.68/5,445.98 = 3,231.42/x
  3. Step 3: Cross multiply
    3,940.68x = 5,445.98 × 3,231.42
  4. Step 4: Simplify right side
    3,940.68x = 17,598,232.53
  5. Step 5: Solve for x
    x = 17,598,232.53/3,940.68
  6. Step 6: Final answer
    x = 4,465.79

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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.