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Finding the Fourth Proportional to 3,901.80, 5,846.22 and 2,745.12

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Solution

The fourth proportional to 3,901.80, 5,846.22 and 2,745.12 is: 4,113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.80 : 5,846.22 = 2,745.12 : x
  2. Step 2: Convert to fraction form
    3,901.80/5,846.22 = 2,745.12/x
  3. Step 3: Cross multiply
    3,901.80x = 5,846.22 × 2,745.12
  4. Step 4: Simplify right side
    3,901.80x = 16,048,575.45
  5. Step 5: Solve for x
    x = 16,048,575.45/3,901.80
  6. Step 6: Final answer
    x = 4,113.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.