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Finding the Fourth Proportional to 4,310.56, 6,464.22 and 3,396.88

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Solution

The fourth proportional to 4,310.56, 6,464.22 and 3,396.88 is: 5,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.56 : 6,464.22 = 3,396.88 : x
  2. Step 2: Convert to fraction form
    4,310.56/6,464.22 = 3,396.88/x
  3. Step 3: Cross multiply
    4,310.56x = 6,464.22 × 3,396.88
  4. Step 4: Simplify right side
    4,310.56x = 21,958,179.63
  5. Step 5: Solve for x
    x = 21,958,179.63/4,310.56
  6. Step 6: Final answer
    x = 5,094.04

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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.