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Finding the Fourth Proportional to 3,589, 4,954.98 and 2,349.16

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Solution

The fourth proportional to 3,589, 4,954.98 and 2,349.16 is: 3,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589 : 4,954.98 = 2,349.16 : x
  2. Step 2: Convert to fraction form
    3,589/4,954.98 = 2,349.16/x
  3. Step 3: Cross multiply
    3,589x = 4,954.98 × 2,349.16
  4. Step 4: Simplify right side
    3,589x = 11,640,040.82
  5. Step 5: Solve for x
    x = 11,640,040.82/3,589
  6. Step 6: Final answer
    x = 3,243.25

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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.