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Finding the Fourth Proportional to 3,868.44, 5,338.34 and 2,296.52

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Solution

The fourth proportional to 3,868.44, 5,338.34 and 2,296.52 is: 3,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.44 : 5,338.34 = 2,296.52 : x
  2. Step 2: Convert to fraction form
    3,868.44/5,338.34 = 2,296.52/x
  3. Step 3: Cross multiply
    3,868.44x = 5,338.34 × 2,296.52
  4. Step 4: Simplify right side
    3,868.44x = 12,259,604.58
  5. Step 5: Solve for x
    x = 12,259,604.58/3,868.44
  6. Step 6: Final answer
    x = 3,169.13

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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.