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Finding the Fourth Proportional to 4,614.72, 6,922.43 and 1,327.74

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Solution

The fourth proportional to 4,614.72, 6,922.43 and 1,327.74 is: 1,991.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.72 : 6,922.43 = 1,327.74 : x
  2. Step 2: Convert to fraction form
    4,614.72/6,922.43 = 1,327.74/x
  3. Step 3: Cross multiply
    4,614.72x = 6,922.43 × 1,327.74
  4. Step 4: Simplify right side
    4,614.72x = 9,191,180.57
  5. Step 5: Solve for x
    x = 9,191,180.57/4,614.72
  6. Step 6: Final answer
    x = 1,991.71

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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.