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Finding the Fourth Proportional to 3,766.96, 5,650.97 and 1,426.32

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Solution

The fourth proportional to 3,766.96, 5,650.97 and 1,426.32 is: 2,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.96 : 5,650.97 = 1,426.32 : x
  2. Step 2: Convert to fraction form
    3,766.96/5,650.97 = 1,426.32/x
  3. Step 3: Cross multiply
    3,766.96x = 5,650.97 × 1,426.32
  4. Step 4: Simplify right side
    3,766.96x = 8,060,091.53
  5. Step 5: Solve for x
    x = 8,060,091.53/3,766.96
  6. Step 6: Final answer
    x = 2,139.68

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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.