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Finding the Fourth Proportional to 3,793.76, 5,687.76 and 1,841.84

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Solution

The fourth proportional to 3,793.76, 5,687.76 and 1,841.84 is: 2,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.76 : 5,687.76 = 1,841.84 : x
  2. Step 2: Convert to fraction form
    3,793.76/5,687.76 = 1,841.84/x
  3. Step 3: Cross multiply
    3,793.76x = 5,687.76 × 1,841.84
  4. Step 4: Simplify right side
    3,793.76x = 10,475,943.88
  5. Step 5: Solve for x
    x = 10,475,943.88/3,793.76
  6. Step 6: Final answer
    x = 2,761.36

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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.