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Finding the Fourth Proportional to 3,954, 5,926.43 and 1,487.24

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Solution

The fourth proportional to 3,954, 5,926.43 and 1,487.24 is: 2,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954 : 5,926.43 = 1,487.24 : x
  2. Step 2: Convert to fraction form
    3,954/5,926.43 = 1,487.24/x
  3. Step 3: Cross multiply
    3,954x = 5,926.43 × 1,487.24
  4. Step 4: Simplify right side
    3,954x = 8,814,023.75
  5. Step 5: Solve for x
    x = 8,814,023.75/3,954
  6. Step 6: Final answer
    x = 2,229.14

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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.