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Finding the Fourth Proportional to 5,336.82, 8,006.04 and 1,826.46

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Solution

The fourth proportional to 5,336.82, 8,006.04 and 1,826.46 is: 2,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.82 : 8,006.04 = 1,826.46 : x
  2. Step 2: Convert to fraction form
    5,336.82/8,006.04 = 1,826.46/x
  3. Step 3: Cross multiply
    5,336.82x = 8,006.04 × 1,826.46
  4. Step 4: Simplify right side
    5,336.82x = 14,622,711.82
  5. Step 5: Solve for x
    x = 14,622,711.82/5,336.82
  6. Step 6: Final answer
    x = 2,739.97

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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.