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Finding the Fourth Proportional to 5,741.68, 7,923.26 and 3,223.75

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Solution

The fourth proportional to 5,741.68, 7,923.26 and 3,223.75 is: 4,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.68 : 7,923.26 = 3,223.75 : x
  2. Step 2: Convert to fraction form
    5,741.68/7,923.26 = 3,223.75/x
  3. Step 3: Cross multiply
    5,741.68x = 7,923.26 × 3,223.75
  4. Step 4: Simplify right side
    5,741.68x = 25,542,561.75
  5. Step 5: Solve for x
    x = 25,542,561.75/5,741.68
  6. Step 6: Final answer
    x = 4,448.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.