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Finding the Fourth Proportional to 5,226.72, 7,212.74 and 2,868.80

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Solution

The fourth proportional to 5,226.72, 7,212.74 and 2,868.80 is: 3,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.72 : 7,212.74 = 2,868.80 : x
  2. Step 2: Convert to fraction form
    5,226.72/7,212.74 = 2,868.80/x
  3. Step 3: Cross multiply
    5,226.72x = 7,212.74 × 2,868.80
  4. Step 4: Simplify right side
    5,226.72x = 20,691,908.51
  5. Step 5: Solve for x
    x = 20,691,908.51/5,226.72
  6. Step 6: Final answer
    x = 3,958.87

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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.