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Finding the Fourth Proportional to 5,215.98, 7,198.14 and 2,858.22

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Solution

The fourth proportional to 5,215.98, 7,198.14 and 2,858.22 is: 3,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.98 : 7,198.14 = 2,858.22 : x
  2. Step 2: Convert to fraction form
    5,215.98/7,198.14 = 2,858.22/x
  3. Step 3: Cross multiply
    5,215.98x = 7,198.14 × 2,858.22
  4. Step 4: Simplify right side
    5,215.98x = 20,573,867.71
  5. Step 5: Solve for x
    x = 20,573,867.71/5,215.98
  6. Step 6: Final answer
    x = 3,944.39

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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.