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Finding the Fourth Proportional to 3,952.24, 5,932.94 and 2,309.96

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Solution

The fourth proportional to 3,952.24, 5,932.94 and 2,309.96 is: 3,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.24 : 5,932.94 = 2,309.96 : x
  2. Step 2: Convert to fraction form
    3,952.24/5,932.94 = 2,309.96/x
  3. Step 3: Cross multiply
    3,952.24x = 5,932.94 × 2,309.96
  4. Step 4: Simplify right side
    3,952.24x = 13,704,857.36
  5. Step 5: Solve for x
    x = 13,704,857.36/3,952.24
  6. Step 6: Final answer
    x = 3,467.62

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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.