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Finding the Fourth Proportional to 3,792.63, 5,689.22 and 1,195.50

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Solution

The fourth proportional to 3,792.63, 5,689.22 and 1,195.50 is: 1,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.63 : 5,689.22 = 1,195.50 : x
  2. Step 2: Convert to fraction form
    3,792.63/5,689.22 = 1,195.50/x
  3. Step 3: Cross multiply
    3,792.63x = 5,689.22 × 1,195.50
  4. Step 4: Simplify right side
    3,792.63x = 6,801,456.53
  5. Step 5: Solve for x
    x = 6,801,456.53/3,792.63
  6. Step 6: Final answer
    x = 1,793.34

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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.