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Finding the Fourth Proportional to 3,954.91, 5,933.60 and 1,181.69

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Solution

The fourth proportional to 3,954.91, 5,933.60 and 1,181.69 is: 1,772.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.91 : 5,933.60 = 1,181.69 : x
  2. Step 2: Convert to fraction form
    3,954.91/5,933.60 = 1,181.69/x
  3. Step 3: Cross multiply
    3,954.91x = 5,933.60 × 1,181.69
  4. Step 4: Simplify right side
    3,954.91x = 7,011,669.88
  5. Step 5: Solve for x
    x = 7,011,669.88/3,954.91
  6. Step 6: Final answer
    x = 1,772.90

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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.