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Finding the Fourth Proportional to 3,512.70, 5,243.43 and 3,069.33

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Solution

The fourth proportional to 3,512.70, 5,243.43 and 3,069.33 is: 4,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.70 : 5,243.43 = 3,069.33 : x
  2. Step 2: Convert to fraction form
    3,512.70/5,243.43 = 3,069.33/x
  3. Step 3: Cross multiply
    3,512.70x = 5,243.43 × 3,069.33
  4. Step 4: Simplify right side
    3,512.70x = 16,093,793.89
  5. Step 5: Solve for x
    x = 16,093,793.89/3,512.70
  6. Step 6: Final answer
    x = 4,581.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.