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Finding the Fourth Proportional to 3,792.60, 5,689.80 and 1,195.56

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Solution

The fourth proportional to 3,792.60, 5,689.80 and 1,195.56 is: 1,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.60 : 5,689.80 = 1,195.56 : x
  2. Step 2: Convert to fraction form
    3,792.60/5,689.80 = 1,195.56/x
  3. Step 3: Cross multiply
    3,792.60x = 5,689.80 × 1,195.56
  4. Step 4: Simplify right side
    3,792.60x = 6,802,497.29
  5. Step 5: Solve for x
    x = 6,802,497.29/3,792.60
  6. Step 6: Final answer
    x = 1,793.62

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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.