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Finding the Fourth Proportional to 3,792.78, 5,688.36 and 1,195.11

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Solution

The fourth proportional to 3,792.78, 5,688.36 and 1,195.11 is: 1,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.78 : 5,688.36 = 1,195.11 : x
  2. Step 2: Convert to fraction form
    3,792.78/5,688.36 = 1,195.11/x
  3. Step 3: Cross multiply
    3,792.78x = 5,688.36 × 1,195.11
  4. Step 4: Simplify right side
    3,792.78x = 6,798,215.92
  5. Step 5: Solve for x
    x = 6,798,215.92/3,792.78
  6. Step 6: Final answer
    x = 1,792.41

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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.