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Finding the Fourth Proportional to 3,428.92, 4,734.24 and 2,591.38

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Solution

The fourth proportional to 3,428.92, 4,734.24 and 2,591.38 is: 3,577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.92 : 4,734.24 = 2,591.38 : x
  2. Step 2: Convert to fraction form
    3,428.92/4,734.24 = 2,591.38/x
  3. Step 3: Cross multiply
    3,428.92x = 4,734.24 × 2,591.38
  4. Step 4: Simplify right side
    3,428.92x = 12,268,214.85
  5. Step 5: Solve for x
    x = 12,268,214.85/3,428.92
  6. Step 6: Final answer
    x = 3,577.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.