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Finding the Fourth Proportional to 3,967.24, 5,471.88 and 2,849.33

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Solution

The fourth proportional to 3,967.24, 5,471.88 and 2,849.33 is: 3,929.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.24 : 5,471.88 = 2,849.33 : x
  2. Step 2: Convert to fraction form
    3,967.24/5,471.88 = 2,849.33/x
  3. Step 3: Cross multiply
    3,967.24x = 5,471.88 × 2,849.33
  4. Step 4: Simplify right side
    3,967.24x = 15,591,191.84
  5. Step 5: Solve for x
    x = 15,591,191.84/3,967.24
  6. Step 6: Final answer
    x = 3,929.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.