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Finding the Fourth Proportional to 5,189.50, 7,164.21 and 3,201.13

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Solution

The fourth proportional to 5,189.50, 7,164.21 and 3,201.13 is: 4,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.50 : 7,164.21 = 3,201.13 : x
  2. Step 2: Convert to fraction form
    5,189.50/7,164.21 = 3,201.13/x
  3. Step 3: Cross multiply
    5,189.50x = 7,164.21 × 3,201.13
  4. Step 4: Simplify right side
    5,189.50x = 22,933,567.56
  5. Step 5: Solve for x
    x = 22,933,567.56/5,189.50
  6. Step 6: Final answer
    x = 4,419.22

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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.