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Finding the Fourth Proportional to 3,906.38, 5,859.84 and 1,309.30

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Solution

The fourth proportional to 3,906.38, 5,859.84 and 1,309.30 is: 1,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.38 : 5,859.84 = 1,309.30 : x
  2. Step 2: Convert to fraction form
    3,906.38/5,859.84 = 1,309.30/x
  3. Step 3: Cross multiply
    3,906.38x = 5,859.84 × 1,309.30
  4. Step 4: Simplify right side
    3,906.38x = 7,672,288.51
  5. Step 5: Solve for x
    x = 7,672,288.51/3,906.38
  6. Step 6: Final answer
    x = 1,964.04

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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.