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Finding the Fourth Proportional to 4,226.70, 6,340.44 and 1,305.84

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Solution

The fourth proportional to 4,226.70, 6,340.44 and 1,305.84 is: 1,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.70 : 6,340.44 = 1,305.84 : x
  2. Step 2: Convert to fraction form
    4,226.70/6,340.44 = 1,305.84/x
  3. Step 3: Cross multiply
    4,226.70x = 6,340.44 × 1,305.84
  4. Step 4: Simplify right side
    4,226.70x = 8,279,600.17
  5. Step 5: Solve for x
    x = 8,279,600.17/4,226.70
  6. Step 6: Final answer
    x = 1,958.88

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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.