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Finding the Fourth Proportional to 3,791.66, 5,685.66 and 1,599.80

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Solution

The fourth proportional to 3,791.66, 5,685.66 and 1,599.80 is: 2,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.66 : 5,685.66 = 1,599.80 : x
  2. Step 2: Convert to fraction form
    3,791.66/5,685.66 = 1,599.80/x
  3. Step 3: Cross multiply
    3,791.66x = 5,685.66 × 1,599.80
  4. Step 4: Simplify right side
    3,791.66x = 9,095,890.44
  5. Step 5: Solve for x
    x = 9,095,890.44/3,791.66
  6. Step 6: Final answer
    x = 2,398.92

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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.