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Finding the Fourth Proportional to 3,896.01, 5,846.04 and 1,706.27

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Solution

The fourth proportional to 3,896.01, 5,846.04 and 1,706.27 is: 2,560.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.01 : 5,846.04 = 1,706.27 : x
  2. Step 2: Convert to fraction form
    3,896.01/5,846.04 = 1,706.27/x
  3. Step 3: Cross multiply
    3,896.01x = 5,846.04 × 1,706.27
  4. Step 4: Simplify right side
    3,896.01x = 9,974,893.44
  5. Step 5: Solve for x
    x = 9,974,893.44/3,896.01
  6. Step 6: Final answer
    x = 2,560.28

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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.