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Finding the Fourth Proportional to 3,791.55, 5,684.90 and 1,599.69

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Solution

The fourth proportional to 3,791.55, 5,684.90 and 1,599.69 is: 2,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.55 : 5,684.90 = 1,599.69 : x
  2. Step 2: Convert to fraction form
    3,791.55/5,684.90 = 1,599.69/x
  3. Step 3: Cross multiply
    3,791.55x = 5,684.90 × 1,599.69
  4. Step 4: Simplify right side
    3,791.55x = 9,094,069.68
  5. Step 5: Solve for x
    x = 9,094,069.68/3,791.55
  6. Step 6: Final answer
    x = 2,398.51

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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.