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Finding the Fourth Proportional to 3,790.26, 5,684.46 and 1,193.19

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Solution

The fourth proportional to 3,790.26, 5,684.46 and 1,193.19 is: 1,789.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.26 : 5,684.46 = 1,193.19 : x
  2. Step 2: Convert to fraction form
    3,790.26/5,684.46 = 1,193.19/x
  3. Step 3: Cross multiply
    3,790.26x = 5,684.46 × 1,193.19
  4. Step 4: Simplify right side
    3,790.26x = 6,782,640.83
  5. Step 5: Solve for x
    x = 6,782,640.83/3,790.26
  6. Step 6: Final answer
    x = 1,789.49

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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.