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Finding the Fourth Proportional to 4,571.20, 6,856.80 and 3,419.20

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Solution

The fourth proportional to 4,571.20, 6,856.80 and 3,419.20 is: 5,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.20 : 6,856.80 = 3,419.20 : x
  2. Step 2: Convert to fraction form
    4,571.20/6,856.80 = 3,419.20/x
  3. Step 3: Cross multiply
    4,571.20x = 6,856.80 × 3,419.20
  4. Step 4: Simplify right side
    4,571.20x = 23,444,770.56
  5. Step 5: Solve for x
    x = 23,444,770.56/4,571.20
  6. Step 6: Final answer
    x = 5,128.80

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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.