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Finding the Fourth Proportional to 3,788.48, 5,226.62 and 2,796.14

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Solution

The fourth proportional to 3,788.48, 5,226.62 and 2,796.14 is: 3,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.48 : 5,226.62 = 2,796.14 : x
  2. Step 2: Convert to fraction form
    3,788.48/5,226.62 = 2,796.14/x
  3. Step 3: Cross multiply
    3,788.48x = 5,226.62 × 2,796.14
  4. Step 4: Simplify right side
    3,788.48x = 14,614,361.25
  5. Step 5: Solve for x
    x = 14,614,361.25/3,788.48
  6. Step 6: Final answer
    x = 3,857.58

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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.