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Finding the Fourth Proportional to 4,796.80, 7,196.60 and 2,022

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Solution

The fourth proportional to 4,796.80, 7,196.60 and 2,022 is: 3,033.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.80 : 7,196.60 = 2,022 : x
  2. Step 2: Convert to fraction form
    4,796.80/7,196.60 = 2,022/x
  3. Step 3: Cross multiply
    4,796.80x = 7,196.60 × 2,022
  4. Step 4: Simplify right side
    4,796.80x = 14,551,525.20
  5. Step 5: Solve for x
    x = 14,551,525.20/4,796.80
  6. Step 6: Final answer
    x = 3,033.59

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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.