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Finding the Fourth Proportional to 5,189.50, 7,163.22 and 3,698.02

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Solution

The fourth proportional to 5,189.50, 7,163.22 and 3,698.02 is: 5,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.50 : 7,163.22 = 3,698.02 : x
  2. Step 2: Convert to fraction form
    5,189.50/7,163.22 = 3,698.02/x
  3. Step 3: Cross multiply
    5,189.50x = 7,163.22 × 3,698.02
  4. Step 4: Simplify right side
    5,189.50x = 26,489,730.82
  5. Step 5: Solve for x
    x = 26,489,730.82/5,189.50
  6. Step 6: Final answer
    x = 5,104.49

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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.