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Finding the Fourth Proportional to 3,227.41, 4,834.77 and 2,128.42

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Solution

The fourth proportional to 3,227.41, 4,834.77 and 2,128.42 is: 3,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.41 : 4,834.77 = 2,128.42 : x
  2. Step 2: Convert to fraction form
    3,227.41/4,834.77 = 2,128.42/x
  3. Step 3: Cross multiply
    3,227.41x = 4,834.77 × 2,128.42
  4. Step 4: Simplify right side
    3,227.41x = 10,290,421.16
  5. Step 5: Solve for x
    x = 10,290,421.16/3,227.41
  6. Step 6: Final answer
    x = 3,188.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.