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Finding the Fourth Proportional to 3,767.86, 5,651.84 and 1,793.70

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Solution

The fourth proportional to 3,767.86, 5,651.84 and 1,793.70 is: 2,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.86 : 5,651.84 = 1,793.70 : x
  2. Step 2: Convert to fraction form
    3,767.86/5,651.84 = 1,793.70/x
  3. Step 3: Cross multiply
    3,767.86x = 5,651.84 × 1,793.70
  4. Step 4: Simplify right side
    3,767.86x = 10,137,705.41
  5. Step 5: Solve for x
    x = 10,137,705.41/3,767.86
  6. Step 6: Final answer
    x = 2,690.57

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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.