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Finding the Fourth Proportional to 3,057.50, 4,213.68 and 2,822.24

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Solution

The fourth proportional to 3,057.50, 4,213.68 and 2,822.24 is: 3,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.50 : 4,213.68 = 2,822.24 : x
  2. Step 2: Convert to fraction form
    3,057.50/4,213.68 = 2,822.24/x
  3. Step 3: Cross multiply
    3,057.50x = 4,213.68 × 2,822.24
  4. Step 4: Simplify right side
    3,057.50x = 11,892,016.24
  5. Step 5: Solve for x
    x = 11,892,016.24/3,057.50
  6. Step 6: Final answer
    x = 3,889.46

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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.