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Finding the Fourth Proportional to 3,644.44, 5,447.34 and 3,172.26

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Solution

The fourth proportional to 3,644.44, 5,447.34 and 3,172.26 is: 4,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.44 : 5,447.34 = 3,172.26 : x
  2. Step 2: Convert to fraction form
    3,644.44/5,447.34 = 3,172.26/x
  3. Step 3: Cross multiply
    3,644.44x = 5,447.34 × 3,172.26
  4. Step 4: Simplify right side
    3,644.44x = 17,280,378.79
  5. Step 5: Solve for x
    x = 17,280,378.79/3,644.44
  6. Step 6: Final answer
    x = 4,741.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.