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Finding the Fourth Proportional to 3,791.74, 5,688.78 and 1,194.70

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Solution

The fourth proportional to 3,791.74, 5,688.78 and 1,194.70 is: 1,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.74 : 5,688.78 = 1,194.70 : x
  2. Step 2: Convert to fraction form
    3,791.74/5,688.78 = 1,194.70/x
  3. Step 3: Cross multiply
    3,791.74x = 5,688.78 × 1,194.70
  4. Step 4: Simplify right side
    3,791.74x = 6,796,385.47
  5. Step 5: Solve for x
    x = 6,796,385.47/3,791.74
  6. Step 6: Final answer
    x = 1,792.42

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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.