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Finding the Fourth Proportional to 3,767.87, 5,649.73 and 2,992.84

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Solution

The fourth proportional to 3,767.87, 5,649.73 and 2,992.84 is: 4,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.87 : 5,649.73 = 2,992.84 : x
  2. Step 2: Convert to fraction form
    3,767.87/5,649.73 = 2,992.84/x
  3. Step 3: Cross multiply
    3,767.87x = 5,649.73 × 2,992.84
  4. Step 4: Simplify right side
    3,767.87x = 16,908,737.93
  5. Step 5: Solve for x
    x = 16,908,737.93/3,767.87
  6. Step 6: Final answer
    x = 4,487.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.