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Finding the Fourth Proportional to 5,057.28, 6,978.69 and 2,819.06

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Solution

The fourth proportional to 5,057.28, 6,978.69 and 2,819.06 is: 3,890.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.28 : 6,978.69 = 2,819.06 : x
  2. Step 2: Convert to fraction form
    5,057.28/6,978.69 = 2,819.06/x
  3. Step 3: Cross multiply
    5,057.28x = 6,978.69 × 2,819.06
  4. Step 4: Simplify right side
    5,057.28x = 19,673,310.94
  5. Step 5: Solve for x
    x = 19,673,310.94/5,057.28
  6. Step 6: Final answer
    x = 3,890.10

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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.