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Finding the Fourth Proportional to 4,548.11, 6,819.86 and 2,080.82

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Solution

The fourth proportional to 4,548.11, 6,819.86 and 2,080.82 is: 3,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.11 : 6,819.86 = 2,080.82 : x
  2. Step 2: Convert to fraction form
    4,548.11/6,819.86 = 2,080.82/x
  3. Step 3: Cross multiply
    4,548.11x = 6,819.86 × 2,080.82
  4. Step 4: Simplify right side
    4,548.11x = 14,190,901.09
  5. Step 5: Solve for x
    x = 14,190,901.09/4,548.11
  6. Step 6: Final answer
    x = 3,120.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.