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Finding the Fourth Proportional to 3,072.33, 4,240.22 and 2,884.68

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Solution

The fourth proportional to 3,072.33, 4,240.22 and 2,884.68 is: 3,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.33 : 4,240.22 = 2,884.68 : x
  2. Step 2: Convert to fraction form
    3,072.33/4,240.22 = 2,884.68/x
  3. Step 3: Cross multiply
    3,072.33x = 4,240.22 × 2,884.68
  4. Step 4: Simplify right side
    3,072.33x = 12,231,663.41
  5. Step 5: Solve for x
    x = 12,231,663.41/3,072.33
  6. Step 6: Final answer
    x = 3,981.23

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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.