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Finding the Fourth Proportional to 3,796.58, 5,235.96 and 2,914.22

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Solution

The fourth proportional to 3,796.58, 5,235.96 and 2,914.22 is: 4,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.58 : 5,235.96 = 2,914.22 : x
  2. Step 2: Convert to fraction form
    3,796.58/5,235.96 = 2,914.22/x
  3. Step 3: Cross multiply
    3,796.58x = 5,235.96 × 2,914.22
  4. Step 4: Simplify right side
    3,796.58x = 15,258,739.35
  5. Step 5: Solve for x
    x = 15,258,739.35/3,796.58
  6. Step 6: Final answer
    x = 4,019.07

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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.