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Finding the Fourth Proportional to 3,057.80, 4,224.66 and 2,824.52

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Solution

The fourth proportional to 3,057.80, 4,224.66 and 2,824.52 is: 3,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.80 : 4,224.66 = 2,824.52 : x
  2. Step 2: Convert to fraction form
    3,057.80/4,224.66 = 2,824.52/x
  3. Step 3: Cross multiply
    3,057.80x = 4,224.66 × 2,824.52
  4. Step 4: Simplify right side
    3,057.80x = 11,932,636.66
  5. Step 5: Solve for x
    x = 11,932,636.66/3,057.80
  6. Step 6: Final answer
    x = 3,902.36

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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.