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Finding the Fourth Proportional to 5,115.97, 7,676.70 and 2,194.50

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Solution

The fourth proportional to 5,115.97, 7,676.70 and 2,194.50 is: 3,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.97 : 7,676.70 = 2,194.50 : x
  2. Step 2: Convert to fraction form
    5,115.97/7,676.70 = 2,194.50/x
  3. Step 3: Cross multiply
    5,115.97x = 7,676.70 × 2,194.50
  4. Step 4: Simplify right side
    5,115.97x = 16,846,518.15
  5. Step 5: Solve for x
    x = 16,846,518.15/5,115.97
  6. Step 6: Final answer
    x = 3,292.93

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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.