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Finding the Fourth Proportional to 3,896.36, 5,846.16 and 2,048.12

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Solution

The fourth proportional to 3,896.36, 5,846.16 and 2,048.12 is: 3,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.36 : 5,846.16 = 2,048.12 : x
  2. Step 2: Convert to fraction form
    3,896.36/5,846.16 = 2,048.12/x
  3. Step 3: Cross multiply
    3,896.36x = 5,846.16 × 2,048.12
  4. Step 4: Simplify right side
    3,896.36x = 11,973,637.22
  5. Step 5: Solve for x
    x = 11,973,637.22/3,896.36
  6. Step 6: Final answer
    x = 3,073.03

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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.