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Finding the Fourth Proportional to 4,662.25, 6,993.38 and 3,196.96

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Solution

The fourth proportional to 4,662.25, 6,993.38 and 3,196.96 is: 4,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.25 : 6,993.38 = 3,196.96 : x
  2. Step 2: Convert to fraction form
    4,662.25/6,993.38 = 3,196.96/x
  3. Step 3: Cross multiply
    4,662.25x = 6,993.38 × 3,196.96
  4. Step 4: Simplify right side
    4,662.25x = 22,357,522.66
  5. Step 5: Solve for x
    x = 22,357,522.66/4,662.25
  6. Step 6: Final answer
    x = 4,795.44

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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.