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Finding the Fourth Proportional to 5,643.88, 8,466.06 and 2,181.64

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Solution

The fourth proportional to 5,643.88, 8,466.06 and 2,181.64 is: 3,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.88 : 8,466.06 = 2,181.64 : x
  2. Step 2: Convert to fraction form
    5,643.88/8,466.06 = 2,181.64/x
  3. Step 3: Cross multiply
    5,643.88x = 8,466.06 × 2,181.64
  4. Step 4: Simplify right side
    5,643.88x = 18,469,895.14
  5. Step 5: Solve for x
    x = 18,469,895.14/5,643.88
  6. Step 6: Final answer
    x = 3,272.55

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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.