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Finding the Fourth Proportional to 4,797.84, 7,202.97 and 3,764.55

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Solution

The fourth proportional to 4,797.84, 7,202.97 and 3,764.55 is: 5,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.84 : 7,202.97 = 3,764.55 : x
  2. Step 2: Convert to fraction form
    4,797.84/7,202.97 = 3,764.55/x
  3. Step 3: Cross multiply
    4,797.84x = 7,202.97 × 3,764.55
  4. Step 4: Simplify right side
    4,797.84x = 27,115,940.71
  5. Step 5: Solve for x
    x = 27,115,940.71/4,797.84
  6. Step 6: Final answer
    x = 5,651.70

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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.