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Finding the Fourth Proportional to 4,662.62, 6,993.94 and 1,199.88

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Solution

The fourth proportional to 4,662.62, 6,993.94 and 1,199.88 is: 1,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.62 : 6,993.94 = 1,199.88 : x
  2. Step 2: Convert to fraction form
    4,662.62/6,993.94 = 1,199.88/x
  3. Step 3: Cross multiply
    4,662.62x = 6,993.94 × 1,199.88
  4. Step 4: Simplify right side
    4,662.62x = 8,391,888.73
  5. Step 5: Solve for x
    x = 8,391,888.73/4,662.62
  6. Step 6: Final answer
    x = 1,799.82

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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.