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Finding the Fourth Proportional to 3,734.64, 5,147.44 and 2,553.68

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Solution

The fourth proportional to 3,734.64, 5,147.44 and 2,553.68 is: 3,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.64 : 5,147.44 = 2,553.68 : x
  2. Step 2: Convert to fraction form
    3,734.64/5,147.44 = 2,553.68/x
  3. Step 3: Cross multiply
    3,734.64x = 5,147.44 × 2,553.68
  4. Step 4: Simplify right side
    3,734.64x = 13,144,914.58
  5. Step 5: Solve for x
    x = 13,144,914.58/3,734.64
  6. Step 6: Final answer
    x = 3,519.73

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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.