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Finding the Fourth Proportional to 3,821.50, 5,270.07 and 3,523.66

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Solution

The fourth proportional to 3,821.50, 5,270.07 and 3,523.66 is: 4,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.50 : 5,270.07 = 3,523.66 : x
  2. Step 2: Convert to fraction form
    3,821.50/5,270.07 = 3,523.66/x
  3. Step 3: Cross multiply
    3,821.50x = 5,270.07 × 3,523.66
  4. Step 4: Simplify right side
    3,821.50x = 18,569,934.86
  5. Step 5: Solve for x
    x = 18,569,934.86/3,821.50
  6. Step 6: Final answer
    x = 4,859.33

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