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Finding the Fourth Proportional to 3,956.58, 5,935.71 and 1,183.48

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Solution

The fourth proportional to 3,956.58, 5,935.71 and 1,183.48 is: 1,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.58 : 5,935.71 = 1,183.48 : x
  2. Step 2: Convert to fraction form
    3,956.58/5,935.71 = 1,183.48/x
  3. Step 3: Cross multiply
    3,956.58x = 5,935.71 × 1,183.48
  4. Step 4: Simplify right side
    3,956.58x = 7,024,783.67
  5. Step 5: Solve for x
    x = 7,024,783.67/3,956.58
  6. Step 6: Final answer
    x = 1,775.47

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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.