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Finding the Fourth Proportional to 4,662.24, 6,993.80 and 1,199.52

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Solution

The fourth proportional to 4,662.24, 6,993.80 and 1,199.52 is: 1,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.24 : 6,993.80 = 1,199.52 : x
  2. Step 2: Convert to fraction form
    4,662.24/6,993.80 = 1,199.52/x
  3. Step 3: Cross multiply
    4,662.24x = 6,993.80 × 1,199.52
  4. Step 4: Simplify right side
    4,662.24x = 8,389,202.98
  5. Step 5: Solve for x
    x = 8,389,202.98/4,662.24
  6. Step 6: Final answer
    x = 1,799.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.