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Finding the Fourth Proportional to 4,628.84, 6,382.22 and 3,213.74

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Solution

The fourth proportional to 4,628.84, 6,382.22 and 3,213.74 is: 4,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,628.84 : 6,382.22 = 3,213.74 : x
  2. Step 2: Convert to fraction form
    4,628.84/6,382.22 = 3,213.74/x
  3. Step 3: Cross multiply
    4,628.84x = 6,382.22 × 3,213.74
  4. Step 4: Simplify right side
    4,628.84x = 20,510,795.70
  5. Step 5: Solve for x
    x = 20,510,795.70/4,628.84
  6. Step 6: Final answer
    x = 4,431.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.