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Finding the Fourth Proportional to 5,395.22, 8,093.22 and 1,446.47

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Solution

The fourth proportional to 5,395.22, 8,093.22 and 1,446.47 is: 2,169.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.22 : 8,093.22 = 1,446.47 : x
  2. Step 2: Convert to fraction form
    5,395.22/8,093.22 = 1,446.47/x
  3. Step 3: Cross multiply
    5,395.22x = 8,093.22 × 1,446.47
  4. Step 4: Simplify right side
    5,395.22x = 11,706,629.92
  5. Step 5: Solve for x
    x = 11,706,629.92/5,395.22
  6. Step 6: Final answer
    x = 2,169.81

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Why These Related Problems?

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