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Finding the Fourth Proportional to 4,161.29, 5,744.88 and 2,836.94

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Solution

The fourth proportional to 4,161.29, 5,744.88 and 2,836.94 is: 3,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.29 : 5,744.88 = 2,836.94 : x
  2. Step 2: Convert to fraction form
    4,161.29/5,744.88 = 2,836.94/x
  3. Step 3: Cross multiply
    4,161.29x = 5,744.88 × 2,836.94
  4. Step 4: Simplify right side
    4,161.29x = 16,297,851.14
  5. Step 5: Solve for x
    x = 16,297,851.14/4,161.29
  6. Step 6: Final answer
    x = 3,916.54

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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.