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Finding the Fourth Proportional to 4,571.20, 6,856.80 and 2,384.20

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Solution

The fourth proportional to 4,571.20, 6,856.80 and 2,384.20 is: 3,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.20 : 6,856.80 = 2,384.20 : x
  2. Step 2: Convert to fraction form
    4,571.20/6,856.80 = 2,384.20/x
  3. Step 3: Cross multiply
    4,571.20x = 6,856.80 × 2,384.20
  4. Step 4: Simplify right side
    4,571.20x = 16,347,982.56
  5. Step 5: Solve for x
    x = 16,347,982.56/4,571.20
  6. Step 6: Final answer
    x = 3,576.30

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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.