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Finding the Fourth Proportional to 5,741.31, 7,922.84 and 3,223.43

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Solution

The fourth proportional to 5,741.31, 7,922.84 and 3,223.43 is: 4,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.31 : 7,922.84 = 3,223.43 : x
  2. Step 2: Convert to fraction form
    5,741.31/7,922.84 = 3,223.43/x
  3. Step 3: Cross multiply
    5,741.31x = 7,922.84 × 3,223.43
  4. Step 4: Simplify right side
    5,741.31x = 25,538,664.41
  5. Step 5: Solve for x
    x = 25,538,664.41/5,741.31
  6. Step 6: Final answer
    x = 4,448.23

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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.