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Finding the Fourth Proportional to 4,414, 6,091.10 and 2,645.26

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Solution

The fourth proportional to 4,414, 6,091.10 and 2,645.26 is: 3,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414 : 6,091.10 = 2,645.26 : x
  2. Step 2: Convert to fraction form
    4,414/6,091.10 = 2,645.26/x
  3. Step 3: Cross multiply
    4,414x = 6,091.10 × 2,645.26
  4. Step 4: Simplify right side
    4,414x = 16,112,543.19
  5. Step 5: Solve for x
    x = 16,112,543.19/4,414
  6. Step 6: Final answer
    x = 3,650.33

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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.