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Finding the Fourth Proportional to 5,228.57, 7,212.71 and 4,234.97

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Solution

The fourth proportional to 5,228.57, 7,212.71 and 4,234.97 is: 5,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.57 : 7,212.71 = 4,234.97 : x
  2. Step 2: Convert to fraction form
    5,228.57/7,212.71 = 4,234.97/x
  3. Step 3: Cross multiply
    5,228.57x = 7,212.71 × 4,234.97
  4. Step 4: Simplify right side
    5,228.57x = 30,545,589.29
  5. Step 5: Solve for x
    x = 30,545,589.29/5,228.57
  6. Step 6: Final answer
    x = 5,842.05

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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.