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Finding the Fourth Proportional to 4,968.44, 7,453.01 and 1,680.42

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Solution

The fourth proportional to 4,968.44, 7,453.01 and 1,680.42 is: 2,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.44 : 7,453.01 = 1,680.42 : x
  2. Step 2: Convert to fraction form
    4,968.44/7,453.01 = 1,680.42/x
  3. Step 3: Cross multiply
    4,968.44x = 7,453.01 × 1,680.42
  4. Step 4: Simplify right side
    4,968.44x = 12,524,212.91
  5. Step 5: Solve for x
    x = 12,524,212.91/4,968.44
  6. Step 6: Final answer
    x = 2,520.75

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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.