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Finding the Fourth Proportional to 3,790.97, 5,684.48 and 1,193.21

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Solution

The fourth proportional to 3,790.97, 5,684.48 and 1,193.21 is: 1,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.97 : 5,684.48 = 1,193.21 : x
  2. Step 2: Convert to fraction form
    3,790.97/5,684.48 = 1,193.21/x
  3. Step 3: Cross multiply
    3,790.97x = 5,684.48 × 1,193.21
  4. Step 4: Simplify right side
    3,790.97x = 6,782,772.41
  5. Step 5: Solve for x
    x = 6,782,772.41/3,790.97
  6. Step 6: Final answer
    x = 1,789.19

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1.5x scale

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.