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Finding the Fourth Proportional to 3,767.93, 5,651.43 and 994.80

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Solution

The fourth proportional to 3,767.93, 5,651.43 and 994.80 is: 1,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.93 : 5,651.43 = 994.80 : x
  2. Step 2: Convert to fraction form
    3,767.93/5,651.43 = 994.80/x
  3. Step 3: Cross multiply
    3,767.93x = 5,651.43 × 994.80
  4. Step 4: Simplify right side
    3,767.93x = 5,622,042.56
  5. Step 5: Solve for x
    x = 5,622,042.56/3,767.93
  6. Step 6: Final answer
    x = 1,492.08

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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.