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Finding the Fourth Proportional to 5,361.26, 8,042.09 and 1,465.65

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Solution

The fourth proportional to 5,361.26, 8,042.09 and 1,465.65 is: 2,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361.26 : 8,042.09 = 1,465.65 : x
  2. Step 2: Convert to fraction form
    5,361.26/8,042.09 = 1,465.65/x
  3. Step 3: Cross multiply
    5,361.26x = 8,042.09 × 1,465.65
  4. Step 4: Simplify right side
    5,361.26x = 11,786,892.87
  5. Step 5: Solve for x
    x = 11,786,892.87/5,361.26
  6. Step 6: Final answer
    x = 2,198.53

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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.