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Finding the Fourth Proportional to 3,956.60, 5,935.82 and 1,183.48

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Solution

The fourth proportional to 3,956.60, 5,935.82 and 1,183.48 is: 1,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.60 : 5,935.82 = 1,183.48 : x
  2. Step 2: Convert to fraction form
    3,956.60/5,935.82 = 1,183.48/x
  3. Step 3: Cross multiply
    3,956.60x = 5,935.82 × 1,183.48
  4. Step 4: Simplify right side
    3,956.60x = 7,024,924.25
  5. Step 5: Solve for x
    x = 7,024,924.25/3,956.60
  6. Step 6: Final answer
    x = 1,775.50

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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.