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Finding the Fourth Proportional to 3,438.49, 4,745.20 and 2,111.44

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Solution

The fourth proportional to 3,438.49, 4,745.20 and 2,111.44 is: 2,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.49 : 4,745.20 = 2,111.44 : x
  2. Step 2: Convert to fraction form
    3,438.49/4,745.20 = 2,111.44/x
  3. Step 3: Cross multiply
    3,438.49x = 4,745.20 × 2,111.44
  4. Step 4: Simplify right side
    3,438.49x = 10,019,205.09
  5. Step 5: Solve for x
    x = 10,019,205.09/3,438.49
  6. Step 6: Final answer
    x = 2,913.84

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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.