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Finding the Fourth Proportional to 6,441.75, 8,889.62 and 3,647.25

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Solution

The fourth proportional to 6,441.75, 8,889.62 and 3,647.25 is: 5,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.75 : 8,889.62 = 3,647.25 : x
  2. Step 2: Convert to fraction form
    6,441.75/8,889.62 = 3,647.25/x
  3. Step 3: Cross multiply
    6,441.75x = 8,889.62 × 3,647.25
  4. Step 4: Simplify right side
    6,441.75x = 32,422,648.31
  5. Step 5: Solve for x
    x = 32,422,648.31/6,441.75
  6. Step 6: Final answer
    x = 5,033.21

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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.