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Finding the Fourth Proportional to 5,216.22, 7,198.22 and 2,858.31

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Solution

The fourth proportional to 5,216.22, 7,198.22 and 2,858.31 is: 3,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.22 : 7,198.22 = 2,858.31 : x
  2. Step 2: Convert to fraction form
    5,216.22/7,198.22 = 2,858.31/x
  3. Step 3: Cross multiply
    5,216.22x = 7,198.22 × 2,858.31
  4. Step 4: Simplify right side
    5,216.22x = 20,574,751.35
  5. Step 5: Solve for x
    x = 20,574,751.35/5,216.22
  6. Step 6: Final answer
    x = 3,944.38

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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.