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Finding the Fourth Proportional to 3,954.22, 5,932.14 and 1,181.05

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Solution

The fourth proportional to 3,954.22, 5,932.14 and 1,181.05 is: 1,771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.22 : 5,932.14 = 1,181.05 : x
  2. Step 2: Convert to fraction form
    3,954.22/5,932.14 = 1,181.05/x
  3. Step 3: Cross multiply
    3,954.22x = 5,932.14 × 1,181.05
  4. Step 4: Simplify right side
    3,954.22x = 7,006,134.69
  5. Step 5: Solve for x
    x = 7,006,134.69/3,954.22
  6. Step 6: Final answer
    x = 1,771.81

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1.5x scale

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.