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Finding the Fourth Proportional to 3,906.02, 5,861.62 and 1,826.19

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Solution

The fourth proportional to 3,906.02, 5,861.62 and 1,826.19 is: 2,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.02 : 5,861.62 = 1,826.19 : x
  2. Step 2: Convert to fraction form
    3,906.02/5,861.62 = 1,826.19/x
  3. Step 3: Cross multiply
    3,906.02x = 5,861.62 × 1,826.19
  4. Step 4: Simplify right side
    3,906.02x = 10,704,431.83
  5. Step 5: Solve for x
    x = 10,704,431.83/3,906.02
  6. Step 6: Final answer
    x = 2,740.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.