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Finding the Fourth Proportional to 3,956.61, 5,934.86 and 1,183.30

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Solution

The fourth proportional to 3,956.61, 5,934.86 and 1,183.30 is: 1,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.61 : 5,934.86 = 1,183.30 : x
  2. Step 2: Convert to fraction form
    3,956.61/5,934.86 = 1,183.30/x
  3. Step 3: Cross multiply
    3,956.61x = 5,934.86 × 1,183.30
  4. Step 4: Simplify right side
    3,956.61x = 7,022,713.92
  5. Step 5: Solve for x
    x = 7,022,713.92/3,956.61
  6. Step 6: Final answer
    x = 1,774.93

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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.