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Finding the Fourth Proportional to 3,792.37, 5,689.47 and 1,195.31

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Solution

The fourth proportional to 3,792.37, 5,689.47 and 1,195.31 is: 1,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.37 : 5,689.47 = 1,195.31 : x
  2. Step 2: Convert to fraction form
    3,792.37/5,689.47 = 1,195.31/x
  3. Step 3: Cross multiply
    3,792.37x = 5,689.47 × 1,195.31
  4. Step 4: Simplify right side
    3,792.37x = 6,800,680.39
  5. Step 5: Solve for x
    x = 6,800,680.39/3,792.37
  6. Step 6: Final answer
    x = 1,793.25

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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.