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Finding the Fourth Proportional to 5,216.39, 7,198.52 and 3,226.41

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Solution

The fourth proportional to 5,216.39, 7,198.52 and 3,226.41 is: 4,452.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.39 : 7,198.52 = 3,226.41 : x
  2. Step 2: Convert to fraction form
    5,216.39/7,198.52 = 3,226.41/x
  3. Step 3: Cross multiply
    5,216.39x = 7,198.52 × 3,226.41
  4. Step 4: Simplify right side
    5,216.39x = 23,225,360.78
  5. Step 5: Solve for x
    x = 23,225,360.78/5,216.39
  6. Step 6: Final answer
    x = 4,452.39

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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.