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Finding the Fourth Proportional to 3,357.27, 4,633.16 and 2,297.25

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Solution

The fourth proportional to 3,357.27, 4,633.16 and 2,297.25 is: 3,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.27 : 4,633.16 = 2,297.25 : x
  2. Step 2: Convert to fraction form
    3,357.27/4,633.16 = 2,297.25/x
  3. Step 3: Cross multiply
    3,357.27x = 4,633.16 × 2,297.25
  4. Step 4: Simplify right side
    3,357.27x = 10,643,538.44
  5. Step 5: Solve for x
    x = 10,643,538.44/3,357.27
  6. Step 6: Final answer
    x = 3,170.30

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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.