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Finding the Fourth Proportional to 3,792.80, 5,234.01 and 2,114.27

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Solution

The fourth proportional to 3,792.80, 5,234.01 and 2,114.27 is: 2,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.80 : 5,234.01 = 2,114.27 : x
  2. Step 2: Convert to fraction form
    3,792.80/5,234.01 = 2,114.27/x
  3. Step 3: Cross multiply
    3,792.80x = 5,234.01 × 2,114.27
  4. Step 4: Simplify right side
    3,792.80x = 11,066,110.32
  5. Step 5: Solve for x
    x = 11,066,110.32/3,792.80
  6. Step 6: Final answer
    x = 2,917.66

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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.