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Finding the Fourth Proportional to 3,790, 5,684.46 and 1,192.96

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Solution

The fourth proportional to 3,790, 5,684.46 and 1,192.96 is: 1,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790 : 5,684.46 = 1,192.96 : x
  2. Step 2: Convert to fraction form
    3,790/5,684.46 = 1,192.96/x
  3. Step 3: Cross multiply
    3,790x = 5,684.46 × 1,192.96
  4. Step 4: Simplify right side
    3,790x = 6,781,333.40
  5. Step 5: Solve for x
    x = 6,781,333.40/3,790
  6. Step 6: Final answer
    x = 1,789.27

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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.