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Finding the Fourth Proportional to 3,558.25, 4,910.52 and 2,161

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Solution

The fourth proportional to 3,558.25, 4,910.52 and 2,161 is: 2,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.25 : 4,910.52 = 2,161 : x
  2. Step 2: Convert to fraction form
    3,558.25/4,910.52 = 2,161/x
  3. Step 3: Cross multiply
    3,558.25x = 4,910.52 × 2,161
  4. Step 4: Simplify right side
    3,558.25x = 10,611,633.72
  5. Step 5: Solve for x
    x = 10,611,633.72/3,558.25
  6. Step 6: Final answer
    x = 2,982.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.