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Finding the Fourth Proportional to 5,218.05, 7,200.89 and 2,828.09

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Solution

The fourth proportional to 5,218.05, 7,200.89 and 2,828.09 is: 3,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.05 : 7,200.89 = 2,828.09 : x
  2. Step 2: Convert to fraction form
    5,218.05/7,200.89 = 2,828.09/x
  3. Step 3: Cross multiply
    5,218.05x = 7,200.89 × 2,828.09
  4. Step 4: Simplify right side
    5,218.05x = 20,364,790.07
  5. Step 5: Solve for x
    x = 20,364,790.07/5,218.05
  6. Step 6: Final answer
    x = 3,902.76

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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.