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Finding the Fourth Proportional to 4,600.26, 6,896.23 and 1,826.30

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Solution

The fourth proportional to 4,600.26, 6,896.23 and 1,826.30 is: 2,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.26 : 6,896.23 = 1,826.30 : x
  2. Step 2: Convert to fraction form
    4,600.26/6,896.23 = 1,826.30/x
  3. Step 3: Cross multiply
    4,600.26x = 6,896.23 × 1,826.30
  4. Step 4: Simplify right side
    4,600.26x = 12,594,556.16
  5. Step 5: Solve for x
    x = 12,594,556.16/4,600.26
  6. Step 6: Final answer
    x = 2,737.79

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