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Finding the Fourth Proportional to 3,438.94, 4,745.84 and 1,867.14

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Solution

The fourth proportional to 3,438.94, 4,745.84 and 1,867.14 is: 2,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.94 : 4,745.84 = 1,867.14 : x
  2. Step 2: Convert to fraction form
    3,438.94/4,745.84 = 1,867.14/x
  3. Step 3: Cross multiply
    3,438.94x = 4,745.84 × 1,867.14
  4. Step 4: Simplify right side
    3,438.94x = 8,861,147.70
  5. Step 5: Solve for x
    x = 8,861,147.70/3,438.94
  6. Step 6: Final answer
    x = 2,576.71

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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.