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Finding the Fourth Proportional to 4,161.91, 5,745.11 and 2,836.95

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Solution

The fourth proportional to 4,161.91, 5,745.11 and 2,836.95 is: 3,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.91 : 5,745.11 = 2,836.95 : x
  2. Step 2: Convert to fraction form
    4,161.91/5,745.11 = 2,836.95/x
  3. Step 3: Cross multiply
    4,161.91x = 5,745.11 × 2,836.95
  4. Step 4: Simplify right side
    4,161.91x = 16,298,589.81
  5. Step 5: Solve for x
    x = 16,298,589.81/4,161.91
  6. Step 6: Final answer
    x = 3,916.13

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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.