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Finding the Fourth Proportional to 3,956.89, 5,935.28 and 1,183.51

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Solution

The fourth proportional to 3,956.89, 5,935.28 and 1,183.51 is: 1,775.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.89 : 5,935.28 = 1,183.51 : x
  2. Step 2: Convert to fraction form
    3,956.89/5,935.28 = 1,183.51/x
  3. Step 3: Cross multiply
    3,956.89x = 5,935.28 × 1,183.51
  4. Step 4: Simplify right side
    3,956.89x = 7,024,463.23
  5. Step 5: Solve for x
    x = 7,024,463.23/3,956.89
  6. Step 6: Final answer
    x = 1,775.25

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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.