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Finding the Fourth Proportional to 5,369.26, 8,054.70 and 1,906.24

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Solution

The fourth proportional to 5,369.26, 8,054.70 and 1,906.24 is: 2,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.26 : 8,054.70 = 1,906.24 : x
  2. Step 2: Convert to fraction form
    5,369.26/8,054.70 = 1,906.24/x
  3. Step 3: Cross multiply
    5,369.26x = 8,054.70 × 1,906.24
  4. Step 4: Simplify right side
    5,369.26x = 15,354,191.33
  5. Step 5: Solve for x
    x = 15,354,191.33/5,369.26
  6. Step 6: Final answer
    x = 2,859.65

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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.