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Finding the Fourth Proportional to 4,172.80, 5,757.22 and 2,380.28

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Solution

The fourth proportional to 4,172.80, 5,757.22 and 2,380.28 is: 3,284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.80 : 5,757.22 = 2,380.28 : x
  2. Step 2: Convert to fraction form
    4,172.80/5,757.22 = 2,380.28/x
  3. Step 3: Cross multiply
    4,172.80x = 5,757.22 × 2,380.28
  4. Step 4: Simplify right side
    4,172.80x = 13,703,795.62
  5. Step 5: Solve for x
    x = 13,703,795.62/4,172.80
  6. Step 6: Final answer
    x = 3,284.08

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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.