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Finding the Fourth Proportional to 4,218.40, 6,313.20 and 3,872.80

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Solution

The fourth proportional to 4,218.40, 6,313.20 and 3,872.80 is: 5,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.40 : 6,313.20 = 3,872.80 : x
  2. Step 2: Convert to fraction form
    4,218.40/6,313.20 = 3,872.80/x
  3. Step 3: Cross multiply
    4,218.40x = 6,313.20 × 3,872.80
  4. Step 4: Simplify right side
    4,218.40x = 24,449,760.96
  5. Step 5: Solve for x
    x = 24,449,760.96/4,218.40
  6. Step 6: Final answer
    x = 5,795.98

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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.