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Finding the Fourth Proportional to 5,213.69, 7,190.80 and 4,616.82

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Solution

The fourth proportional to 5,213.69, 7,190.80 and 4,616.82 is: 6,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.69 : 7,190.80 = 4,616.82 : x
  2. Step 2: Convert to fraction form
    5,213.69/7,190.80 = 4,616.82/x
  3. Step 3: Cross multiply
    5,213.69x = 7,190.80 × 4,616.82
  4. Step 4: Simplify right side
    5,213.69x = 33,198,629.26
  5. Step 5: Solve for x
    x = 33,198,629.26/5,213.69
  6. Step 6: Final answer
    x = 6,367.59

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