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Finding the Fourth Proportional to 5,296.44, 7,310.38 and 3,057.98

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Solution

The fourth proportional to 5,296.44, 7,310.38 and 3,057.98 is: 4,220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.44 : 7,310.38 = 3,057.98 : x
  2. Step 2: Convert to fraction form
    5,296.44/7,310.38 = 3,057.98/x
  3. Step 3: Cross multiply
    5,296.44x = 7,310.38 × 3,057.98
  4. Step 4: Simplify right side
    5,296.44x = 22,354,995.83
  5. Step 5: Solve for x
    x = 22,354,995.83/5,296.44
  6. Step 6: Final answer
    x = 4,220.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.