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Finding the Fourth Proportional to 3,792.43, 5,233.94 and 2,114.11

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Solution

The fourth proportional to 3,792.43, 5,233.94 and 2,114.11 is: 2,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.43 : 5,233.94 = 2,114.11 : x
  2. Step 2: Convert to fraction form
    3,792.43/5,233.94 = 2,114.11/x
  3. Step 3: Cross multiply
    3,792.43x = 5,233.94 × 2,114.11
  4. Step 4: Simplify right side
    3,792.43x = 11,065,088.15
  5. Step 5: Solve for x
    x = 11,065,088.15/3,792.43
  6. Step 6: Final answer
    x = 2,917.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.