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Finding the Fourth Proportional to 3,757.78, 5,634.90 and 1,124.27

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Solution

The fourth proportional to 3,757.78, 5,634.90 and 1,124.27 is: 1,685.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.78 : 5,634.90 = 1,124.27 : x
  2. Step 2: Convert to fraction form
    3,757.78/5,634.90 = 1,124.27/x
  3. Step 3: Cross multiply
    3,757.78x = 5,634.90 × 1,124.27
  4. Step 4: Simplify right side
    3,757.78x = 6,335,149.02
  5. Step 5: Solve for x
    x = 6,335,149.02/3,757.78
  6. Step 6: Final answer
    x = 1,685.88

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1.5x scale

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.