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Finding the Fourth Proportional to 5,896.80, 8,138.02 and 3,244.26

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Solution

The fourth proportional to 5,896.80, 8,138.02 and 3,244.26 is: 4,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.80 : 8,138.02 = 3,244.26 : x
  2. Step 2: Convert to fraction form
    5,896.80/8,138.02 = 3,244.26/x
  3. Step 3: Cross multiply
    5,896.80x = 8,138.02 × 3,244.26
  4. Step 4: Simplify right side
    5,896.80x = 26,401,852.77
  5. Step 5: Solve for x
    x = 26,401,852.77/5,896.80
  6. Step 6: Final answer
    x = 4,477.32

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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.