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Finding the Fourth Proportional to 5,494.82, 8,245.47 and 2,034.50

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Solution

The fourth proportional to 5,494.82, 8,245.47 and 2,034.50 is: 3,052.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.82 : 8,245.47 = 2,034.50 : x
  2. Step 2: Convert to fraction form
    5,494.82/8,245.47 = 2,034.50/x
  3. Step 3: Cross multiply
    5,494.82x = 8,245.47 × 2,034.50
  4. Step 4: Simplify right side
    5,494.82x = 16,775,367.49
  5. Step 5: Solve for x
    x = 16,775,367.49/5,494.82
  6. Step 6: Final answer
    x = 3,052.94

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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.