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Finding the Fourth Proportional to 5,956.42, 8,922.68 and 2,839.44

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Solution

The fourth proportional to 5,956.42, 8,922.68 and 2,839.44 is: 4,253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.42 : 8,922.68 = 2,839.44 : x
  2. Step 2: Convert to fraction form
    5,956.42/8,922.68 = 2,839.44/x
  3. Step 3: Cross multiply
    5,956.42x = 8,922.68 × 2,839.44
  4. Step 4: Simplify right side
    5,956.42x = 25,335,414.50
  5. Step 5: Solve for x
    x = 25,335,414.50/5,956.42
  6. Step 6: Final answer
    x = 4,253.46

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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.