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Finding the Fourth Proportional to 5,628.66, 7,766.22 and 3,638.82

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Solution

The fourth proportional to 5,628.66, 7,766.22 and 3,638.82 is: 5,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.66 : 7,766.22 = 3,638.82 : x
  2. Step 2: Convert to fraction form
    5,628.66/7,766.22 = 3,638.82/x
  3. Step 3: Cross multiply
    5,628.66x = 7,766.22 × 3,638.82
  4. Step 4: Simplify right side
    5,628.66x = 28,259,876.66
  5. Step 5: Solve for x
    x = 28,259,876.66/5,628.66
  6. Step 6: Final answer
    x = 5,020.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.