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Finding the Fourth Proportional to 3,435.82, 4,739.31 and 2,107.22

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Solution

The fourth proportional to 3,435.82, 4,739.31 and 2,107.22 is: 2,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.82 : 4,739.31 = 2,107.22 : x
  2. Step 2: Convert to fraction form
    3,435.82/4,739.31 = 2,107.22/x
  3. Step 3: Cross multiply
    3,435.82x = 4,739.31 × 2,107.22
  4. Step 4: Simplify right side
    3,435.82x = 9,986,745.12
  5. Step 5: Solve for x
    x = 9,986,745.12/3,435.82
  6. Step 6: Final answer
    x = 2,906.66

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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.