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Finding the Fourth Proportional to 3,703.44, 5,552.42 and 2,242.26

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Solution

The fourth proportional to 3,703.44, 5,552.42 and 2,242.26 is: 3,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.44 : 5,552.42 = 2,242.26 : x
  2. Step 2: Convert to fraction form
    3,703.44/5,552.42 = 2,242.26/x
  3. Step 3: Cross multiply
    3,703.44x = 5,552.42 × 2,242.26
  4. Step 4: Simplify right side
    3,703.44x = 12,449,969.27
  5. Step 5: Solve for x
    x = 12,449,969.27/3,703.44
  6. Step 6: Final answer
    x = 3,361.73

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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.