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Finding the Fourth Proportional to 3,954.53, 5,932.61 and 1,181.36

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Solution

The fourth proportional to 3,954.53, 5,932.61 and 1,181.36 is: 1,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.53 : 5,932.61 = 1,181.36 : x
  2. Step 2: Convert to fraction form
    3,954.53/5,932.61 = 1,181.36/x
  3. Step 3: Cross multiply
    3,954.53x = 5,932.61 × 1,181.36
  4. Step 4: Simplify right side
    3,954.53x = 7,008,548.15
  5. Step 5: Solve for x
    x = 7,008,548.15/3,954.53
  6. Step 6: Final answer
    x = 1,772.28

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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.