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Finding the Fourth Proportional to 4,310.66, 5,947.16 and 2,819.43

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Solution

The fourth proportional to 4,310.66, 5,947.16 and 2,819.43 is: 3,889.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.66 : 5,947.16 = 2,819.43 : x
  2. Step 2: Convert to fraction form
    4,310.66/5,947.16 = 2,819.43/x
  3. Step 3: Cross multiply
    4,310.66x = 5,947.16 × 2,819.43
  4. Step 4: Simplify right side
    4,310.66x = 16,767,587.22
  5. Step 5: Solve for x
    x = 16,767,587.22/4,310.66
  6. Step 6: Final answer
    x = 3,889.79

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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.