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Finding the Fourth Proportional to 5,674.98, 8,501.73 and 3,211.56

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Solution

The fourth proportional to 5,674.98, 8,501.73 and 3,211.56 is: 4,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.98 : 8,501.73 = 3,211.56 : x
  2. Step 2: Convert to fraction form
    5,674.98/8,501.73 = 3,211.56/x
  3. Step 3: Cross multiply
    5,674.98x = 8,501.73 × 3,211.56
  4. Step 4: Simplify right side
    5,674.98x = 27,303,847.88
  5. Step 5: Solve for x
    x = 27,303,847.88/5,674.98
  6. Step 6: Final answer
    x = 4,811.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.