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Finding the Fourth Proportional to 3,233.71, 4,855.22 and 2,006.16

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Solution

The fourth proportional to 3,233.71, 4,855.22 and 2,006.16 is: 3,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.71 : 4,855.22 = 2,006.16 : x
  2. Step 2: Convert to fraction form
    3,233.71/4,855.22 = 2,006.16/x
  3. Step 3: Cross multiply
    3,233.71x = 4,855.22 × 2,006.16
  4. Step 4: Simplify right side
    3,233.71x = 9,740,348.16
  5. Step 5: Solve for x
    x = 9,740,348.16/3,233.71
  6. Step 6: Final answer
    x = 3,012.13

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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.