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Finding the Fourth Proportional to 4,269, 5,891.22 and 3,029.16

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Solution

The fourth proportional to 4,269, 5,891.22 and 3,029.16 is: 4,180.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269 : 5,891.22 = 3,029.16 : x
  2. Step 2: Convert to fraction form
    4,269/5,891.22 = 3,029.16/x
  3. Step 3: Cross multiply
    4,269x = 5,891.22 × 3,029.16
  4. Step 4: Simplify right side
    4,269x = 17,845,447.98
  5. Step 5: Solve for x
    x = 17,845,447.98/4,269
  6. Step 6: Final answer
    x = 4,180.24

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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.