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Finding the Fourth Proportional to 3,112.84, 4,301.22 and 2,227.12

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Solution

The fourth proportional to 3,112.84, 4,301.22 and 2,227.12 is: 3,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.84 : 4,301.22 = 2,227.12 : x
  2. Step 2: Convert to fraction form
    3,112.84/4,301.22 = 2,227.12/x
  3. Step 3: Cross multiply
    3,112.84x = 4,301.22 × 2,227.12
  4. Step 4: Simplify right side
    3,112.84x = 9,579,333.09
  5. Step 5: Solve for x
    x = 9,579,333.09/3,112.84
  6. Step 6: Final answer
    x = 3,077.36

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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.