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Finding the Fourth Proportional to 4,469.68, 6,695.80 and 2,926

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Solution

The fourth proportional to 4,469.68, 6,695.80 and 2,926 is: 4,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.68 : 6,695.80 = 2,926 : x
  2. Step 2: Convert to fraction form
    4,469.68/6,695.80 = 2,926/x
  3. Step 3: Cross multiply
    4,469.68x = 6,695.80 × 2,926
  4. Step 4: Simplify right side
    4,469.68x = 19,591,910.80
  5. Step 5: Solve for x
    x = 19,591,910.80/4,469.68
  6. Step 6: Final answer
    x = 4,383.29

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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.