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Finding the Fourth Proportional to 4,172.67, 5,757.42 and 2,493.45

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Solution

The fourth proportional to 4,172.67, 5,757.42 and 2,493.45 is: 3,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.67 : 5,757.42 = 2,493.45 : x
  2. Step 2: Convert to fraction form
    4,172.67/5,757.42 = 2,493.45/x
  3. Step 3: Cross multiply
    4,172.67x = 5,757.42 × 2,493.45
  4. Step 4: Simplify right side
    4,172.67x = 14,355,838.90
  5. Step 5: Solve for x
    x = 14,355,838.90/4,172.67
  6. Step 6: Final answer
    x = 3,440.44

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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.