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Finding the Fourth Proportional to 3,792.79, 5,688.37 and 1,194.31

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Solution

The fourth proportional to 3,792.79, 5,688.37 and 1,194.31 is: 1,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.79 : 5,688.37 = 1,194.31 : x
  2. Step 2: Convert to fraction form
    3,792.79/5,688.37 = 1,194.31/x
  3. Step 3: Cross multiply
    3,792.79x = 5,688.37 × 1,194.31
  4. Step 4: Simplify right side
    3,792.79x = 6,793,677.17
  5. Step 5: Solve for x
    x = 6,793,677.17/3,792.79
  6. Step 6: Final answer
    x = 1,791.21

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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.