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Finding the Fourth Proportional to 3,956.24, 5,935.02 and 1,764.89

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Solution

The fourth proportional to 3,956.24, 5,935.02 and 1,764.89 is: 2,647.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.24 : 5,935.02 = 1,764.89 : x
  2. Step 2: Convert to fraction form
    3,956.24/5,935.02 = 1,764.89/x
  3. Step 3: Cross multiply
    3,956.24x = 5,935.02 × 1,764.89
  4. Step 4: Simplify right side
    3,956.24x = 10,474,653.34
  5. Step 5: Solve for x
    x = 10,474,653.34/3,956.24
  6. Step 6: Final answer
    x = 2,647.63

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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.