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Finding the Fourth Proportional to 3,940.42, 5,445.62 and 3,231.16

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Solution

The fourth proportional to 3,940.42, 5,445.62 and 3,231.16 is: 4,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.42 : 5,445.62 = 3,231.16 : x
  2. Step 2: Convert to fraction form
    3,940.42/5,445.62 = 3,231.16/x
  3. Step 3: Cross multiply
    3,940.42x = 5,445.62 × 3,231.16
  4. Step 4: Simplify right side
    3,940.42x = 17,595,653.36
  5. Step 5: Solve for x
    x = 17,595,653.36/3,940.42
  6. Step 6: Final answer
    x = 4,465.43

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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.