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Finding the Fourth Proportional to 4,506.22, 6,761.71 and 3,198.42

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Solution

The fourth proportional to 4,506.22, 6,761.71 and 3,198.42 is: 4,799.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.22 : 6,761.71 = 3,198.42 : x
  2. Step 2: Convert to fraction form
    4,506.22/6,761.71 = 3,198.42/x
  3. Step 3: Cross multiply
    4,506.22x = 6,761.71 × 3,198.42
  4. Step 4: Simplify right side
    4,506.22x = 21,626,788.50
  5. Step 5: Solve for x
    x = 21,626,788.50/4,506.22
  6. Step 6: Final answer
    x = 4,799.32

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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.