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Finding the Fourth Proportional to 4,614.24, 6,922.53 and 1,327.26

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Solution

The fourth proportional to 4,614.24, 6,922.53 and 1,327.26 is: 1,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.24 : 6,922.53 = 1,327.26 : x
  2. Step 2: Convert to fraction form
    4,614.24/6,922.53 = 1,327.26/x
  3. Step 3: Cross multiply
    4,614.24x = 6,922.53 × 1,327.26
  4. Step 4: Simplify right side
    4,614.24x = 9,187,997.17
  5. Step 5: Solve for x
    x = 9,187,997.17/4,614.24
  6. Step 6: Final answer
    x = 1,991.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.