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Finding the Fourth Proportional to 3,954.43, 5,932.42 and 1,181.04

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Solution

The fourth proportional to 3,954.43, 5,932.42 and 1,181.04 is: 1,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.43 : 5,932.42 = 1,181.04 : x
  2. Step 2: Convert to fraction form
    3,954.43/5,932.42 = 1,181.04/x
  3. Step 3: Cross multiply
    3,954.43x = 5,932.42 × 1,181.04
  4. Step 4: Simplify right side
    3,954.43x = 7,006,419.41
  5. Step 5: Solve for x
    x = 7,006,419.41/3,954.43
  6. Step 6: Final answer
    x = 1,771.79

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Why These Related Problems?

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