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Finding the Fourth Proportional to 4,274.70, 6,400.46 and 2,218.38

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Solution

The fourth proportional to 4,274.70, 6,400.46 and 2,218.38 is: 3,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.70 : 6,400.46 = 2,218.38 : x
  2. Step 2: Convert to fraction form
    4,274.70/6,400.46 = 2,218.38/x
  3. Step 3: Cross multiply
    4,274.70x = 6,400.46 × 2,218.38
  4. Step 4: Simplify right side
    4,274.70x = 14,198,652.45
  5. Step 5: Solve for x
    x = 14,198,652.45/4,274.70
  6. Step 6: Final answer
    x = 3,321.56

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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.