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Finding the Fourth Proportional to 4,991.25, 6,876 and 3,496.35

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Solution

The fourth proportional to 4,991.25, 6,876 and 3,496.35 is: 4,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,991.25 : 6,876 = 3,496.35 : x
  2. Step 2: Convert to fraction form
    4,991.25/6,876 = 3,496.35/x
  3. Step 3: Cross multiply
    4,991.25x = 6,876 × 3,496.35
  4. Step 4: Simplify right side
    4,991.25x = 24,040,902.60
  5. Step 5: Solve for x
    x = 24,040,902.60/4,991.25
  6. Step 6: Final answer
    x = 4,816.61

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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.