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Finding the Fourth Proportional to 3,956.91, 5,933.36 and 1,323.48

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Solution

The fourth proportional to 3,956.91, 5,933.36 and 1,323.48 is: 1,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.91 : 5,933.36 = 1,323.48 : x
  2. Step 2: Convert to fraction form
    3,956.91/5,933.36 = 1,323.48/x
  3. Step 3: Cross multiply
    3,956.91x = 5,933.36 × 1,323.48
  4. Step 4: Simplify right side
    3,956.91x = 7,852,676.68
  5. Step 5: Solve for x
    x = 7,852,676.68/3,956.91
  6. Step 6: Final answer
    x = 1,984.55

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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.