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Finding the Fourth Proportional to 3,956.15, 5,932.35 and 1,181.85

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Solution

The fourth proportional to 3,956.15, 5,932.35 and 1,181.85 is: 1,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.15 : 5,932.35 = 1,181.85 : x
  2. Step 2: Convert to fraction form
    3,956.15/5,932.35 = 1,181.85/x
  3. Step 3: Cross multiply
    3,956.15x = 5,932.35 × 1,181.85
  4. Step 4: Simplify right side
    3,956.15x = 7,011,147.85
  5. Step 5: Solve for x
    x = 7,011,147.85/3,956.15
  6. Step 6: Final answer
    x = 1,772.22

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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.