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Finding the Fourth Proportional to 3,744.80, 5,168.26 and 2,253.46

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Solution

The fourth proportional to 3,744.80, 5,168.26 and 2,253.46 is: 3,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.80 : 5,168.26 = 2,253.46 : x
  2. Step 2: Convert to fraction form
    3,744.80/5,168.26 = 2,253.46/x
  3. Step 3: Cross multiply
    3,744.80x = 5,168.26 × 2,253.46
  4. Step 4: Simplify right side
    3,744.80x = 11,646,467.18
  5. Step 5: Solve for x
    x = 11,646,467.18/3,744.80
  6. Step 6: Final answer
    x = 3,110.04

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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.