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Finding the Fourth Proportional to 5,218.10, 7,200.98 and 2,828.09

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Solution

The fourth proportional to 5,218.10, 7,200.98 and 2,828.09 is: 3,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.10 : 7,200.98 = 2,828.09 : x
  2. Step 2: Convert to fraction form
    5,218.10/7,200.98 = 2,828.09/x
  3. Step 3: Cross multiply
    5,218.10x = 7,200.98 × 2,828.09
  4. Step 4: Simplify right side
    5,218.10x = 20,365,005.79
  5. Step 5: Solve for x
    x = 20,365,005.79/5,218.10
  6. Step 6: Final answer
    x = 3,902.77

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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.