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Finding the Fourth Proportional to 3,365.26, 5,057.12 and 3,174.20

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Solution

The fourth proportional to 3,365.26, 5,057.12 and 3,174.20 is: 4,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.26 : 5,057.12 = 3,174.20 : x
  2. Step 2: Convert to fraction form
    3,365.26/5,057.12 = 3,174.20/x
  3. Step 3: Cross multiply
    3,365.26x = 5,057.12 × 3,174.20
  4. Step 4: Simplify right side
    3,365.26x = 16,052,294.06
  5. Step 5: Solve for x
    x = 16,052,294.06/3,365.26
  6. Step 6: Final answer
    x = 4,770.00

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