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Finding the Fourth Proportional to 5,198.34, 7,801.66 and 2,734.62

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Solution

The fourth proportional to 5,198.34, 7,801.66 and 2,734.62 is: 4,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.34 : 7,801.66 = 2,734.62 : x
  2. Step 2: Convert to fraction form
    5,198.34/7,801.66 = 2,734.62/x
  3. Step 3: Cross multiply
    5,198.34x = 7,801.66 × 2,734.62
  4. Step 4: Simplify right side
    5,198.34x = 21,334,575.47
  5. Step 5: Solve for x
    x = 21,334,575.47/5,198.34
  6. Step 6: Final answer
    x = 4,104.11

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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.