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Finding the Fourth Proportional to 5,497.50, 8,245.29 and 2,033.82

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Solution

The fourth proportional to 5,497.50, 8,245.29 and 2,033.82 is: 3,050.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.50 : 8,245.29 = 2,033.82 : x
  2. Step 2: Convert to fraction form
    5,497.50/8,245.29 = 2,033.82/x
  3. Step 3: Cross multiply
    5,497.50x = 8,245.29 × 2,033.82
  4. Step 4: Simplify right side
    5,497.50x = 16,769,435.71
  5. Step 5: Solve for x
    x = 16,769,435.71/5,497.50
  6. Step 6: Final answer
    x = 3,050.37

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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.