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Finding the Fourth Proportional to 4,493.34, 6,734.34 and 2,546.64

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Solution

The fourth proportional to 4,493.34, 6,734.34 and 2,546.64 is: 3,816.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.34 : 6,734.34 = 2,546.64 : x
  2. Step 2: Convert to fraction form
    4,493.34/6,734.34 = 2,546.64/x
  3. Step 3: Cross multiply
    4,493.34x = 6,734.34 × 2,546.64
  4. Step 4: Simplify right side
    4,493.34x = 17,149,939.62
  5. Step 5: Solve for x
    x = 17,149,939.62/4,493.34
  6. Step 6: Final answer
    x = 3,816.75

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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.