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Finding the Fourth Proportional to 5,104.68, 7,657.84 and 2,183

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Solution

The fourth proportional to 5,104.68, 7,657.84 and 2,183 is: 3,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.68 : 7,657.84 = 2,183 : x
  2. Step 2: Convert to fraction form
    5,104.68/7,657.84 = 2,183/x
  3. Step 3: Cross multiply
    5,104.68x = 7,657.84 × 2,183
  4. Step 4: Simplify right side
    5,104.68x = 16,717,064.72
  5. Step 5: Solve for x
    x = 16,717,064.72/5,104.68
  6. Step 6: Final answer
    x = 3,274.85

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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.