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Finding the Fourth Proportional to 5,057.64, 6,978.62 and 2,819.46

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Solution

The fourth proportional to 5,057.64, 6,978.62 and 2,819.46 is: 3,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.64 : 6,978.62 = 2,819.46 : x
  2. Step 2: Convert to fraction form
    5,057.64/6,978.62 = 2,819.46/x
  3. Step 3: Cross multiply
    5,057.64x = 6,978.62 × 2,819.46
  4. Step 4: Simplify right side
    5,057.64x = 19,675,939.95
  5. Step 5: Solve for x
    x = 19,675,939.95/5,057.64
  6. Step 6: Final answer
    x = 3,890.34

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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.