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Finding the Fourth Proportional to 5,489.22, 7,571.70 and 3,994.80

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Solution

The fourth proportional to 5,489.22, 7,571.70 and 3,994.80 is: 5,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.22 : 7,571.70 = 3,994.80 : x
  2. Step 2: Convert to fraction form
    5,489.22/7,571.70 = 3,994.80/x
  3. Step 3: Cross multiply
    5,489.22x = 7,571.70 × 3,994.80
  4. Step 4: Simplify right side
    5,489.22x = 30,247,427.16
  5. Step 5: Solve for x
    x = 30,247,427.16/5,489.22
  6. Step 6: Final answer
    x = 5,510.33

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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.