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Finding the Fourth Proportional to 3,792.76, 5,691.71 and 1,327.61

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Solution

The fourth proportional to 3,792.76, 5,691.71 and 1,327.61 is: 1,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.76 : 5,691.71 = 1,327.61 : x
  2. Step 2: Convert to fraction form
    3,792.76/5,691.71 = 1,327.61/x
  3. Step 3: Cross multiply
    3,792.76x = 5,691.71 × 1,327.61
  4. Step 4: Simplify right side
    3,792.76x = 7,556,336.02
  5. Step 5: Solve for x
    x = 7,556,336.02/3,792.76
  6. Step 6: Final answer
    x = 1,992.31

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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.