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Finding the Fourth Proportional to 5,194.50, 7,796.43 and 3,524.58

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Solution

The fourth proportional to 5,194.50, 7,796.43 and 3,524.58 is: 5,290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.50 : 7,796.43 = 3,524.58 : x
  2. Step 2: Convert to fraction form
    5,194.50/7,796.43 = 3,524.58/x
  3. Step 3: Cross multiply
    5,194.50x = 7,796.43 × 3,524.58
  4. Step 4: Simplify right side
    5,194.50x = 27,479,141.25
  5. Step 5: Solve for x
    x = 27,479,141.25/5,194.50
  6. Step 6: Final answer
    x = 5,290.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.