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Finding the Fourth Proportional to 5,974.70, 8,956.83 and 2,853.14

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Solution

The fourth proportional to 5,974.70, 8,956.83 and 2,853.14 is: 4,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.70 : 8,956.83 = 2,853.14 : x
  2. Step 2: Convert to fraction form
    5,974.70/8,956.83 = 2,853.14/x
  3. Step 3: Cross multiply
    5,974.70x = 8,956.83 × 2,853.14
  4. Step 4: Simplify right side
    5,974.70x = 25,555,089.95
  5. Step 5: Solve for x
    x = 25,555,089.95/5,974.70
  6. Step 6: Final answer
    x = 4,277.22

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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.