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Finding the Fourth Proportional to 4,949.75, 7,425.86 and 3,491.75

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Solution

The fourth proportional to 4,949.75, 7,425.86 and 3,491.75 is: 5,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.75 : 7,425.86 = 3,491.75 : x
  2. Step 2: Convert to fraction form
    4,949.75/7,425.86 = 3,491.75/x
  3. Step 3: Cross multiply
    4,949.75x = 7,425.86 × 3,491.75
  4. Step 4: Simplify right side
    4,949.75x = 25,929,192.07
  5. Step 5: Solve for x
    x = 25,929,192.07/4,949.75
  6. Step 6: Final answer
    x = 5,238.49

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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.