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Finding the Fourth Proportional to 5,611.08, 8,410.24 and 3,414.97

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Solution

The fourth proportional to 5,611.08, 8,410.24 and 3,414.97 is: 5,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.08 : 8,410.24 = 3,414.97 : x
  2. Step 2: Convert to fraction form
    5,611.08/8,410.24 = 3,414.97/x
  3. Step 3: Cross multiply
    5,611.08x = 8,410.24 × 3,414.97
  4. Step 4: Simplify right side
    5,611.08x = 28,720,717.29
  5. Step 5: Solve for x
    x = 28,720,717.29/5,611.08
  6. Step 6: Final answer
    x = 5,118.57

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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.