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Finding the Fourth Proportional to 3,540.69, 5,310.86 and 1,199.79

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Solution

The fourth proportional to 3,540.69, 5,310.86 and 1,199.79 is: 1,799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.69 : 5,310.86 = 1,199.79 : x
  2. Step 2: Convert to fraction form
    3,540.69/5,310.86 = 1,199.79/x
  3. Step 3: Cross multiply
    3,540.69x = 5,310.86 × 1,199.79
  4. Step 4: Simplify right side
    3,540.69x = 6,371,910.72
  5. Step 5: Solve for x
    x = 6,371,910.72/3,540.69
  6. Step 6: Final answer
    x = 1,799.62

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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.