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Finding the Fourth Proportional to 3,791.05, 5,684.14 and 1,599.19

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Solution

The fourth proportional to 3,791.05, 5,684.14 and 1,599.19 is: 2,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.05 : 5,684.14 = 1,599.19 : x
  2. Step 2: Convert to fraction form
    3,791.05/5,684.14 = 1,599.19/x
  3. Step 3: Cross multiply
    3,791.05x = 5,684.14 × 1,599.19
  4. Step 4: Simplify right side
    3,791.05x = 9,090,019.85
  5. Step 5: Solve for x
    x = 9,090,019.85/3,791.05
  6. Step 6: Final answer
    x = 2,397.76

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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.