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Finding the Fourth Proportional to 5,741.15, 7,922.93 and 3,223.44

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Solution

The fourth proportional to 5,741.15, 7,922.93 and 3,223.44 is: 4,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.15 : 7,922.93 = 3,223.44 : x
  2. Step 2: Convert to fraction form
    5,741.15/7,922.93 = 3,223.44/x
  3. Step 3: Cross multiply
    5,741.15x = 7,922.93 × 3,223.44
  4. Step 4: Simplify right side
    5,741.15x = 25,539,073.36
  5. Step 5: Solve for x
    x = 25,539,073.36/5,741.15
  6. Step 6: Final answer
    x = 4,448.43

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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.