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Finding the Fourth Proportional to 4,172.46, 5,757.28 and 2,494.54

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Solution

The fourth proportional to 4,172.46, 5,757.28 and 2,494.54 is: 3,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.46 : 5,757.28 = 2,494.54 : x
  2. Step 2: Convert to fraction form
    4,172.46/5,757.28 = 2,494.54/x
  3. Step 3: Cross multiply
    4,172.46x = 5,757.28 × 2,494.54
  4. Step 4: Simplify right side
    4,172.46x = 14,361,765.25
  5. Step 5: Solve for x
    x = 14,361,765.25/4,172.46
  6. Step 6: Final answer
    x = 3,442.04

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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.