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Finding the Fourth Proportional to 5,057.22, 6,978.99 and 2,819.24

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Solution

The fourth proportional to 5,057.22, 6,978.99 and 2,819.24 is: 3,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.22 : 6,978.99 = 2,819.24 : x
  2. Step 2: Convert to fraction form
    5,057.22/6,978.99 = 2,819.24/x
  3. Step 3: Cross multiply
    5,057.22x = 6,978.99 × 2,819.24
  4. Step 4: Simplify right side
    5,057.22x = 19,675,447.77
  5. Step 5: Solve for x
    x = 19,675,447.77/5,057.22
  6. Step 6: Final answer
    x = 3,890.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.