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Finding the Fourth Proportional to 3,205.84, 4,796.11 and 2,428.09

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Solution

The fourth proportional to 3,205.84, 4,796.11 and 2,428.09 is: 3,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.84 : 4,796.11 = 2,428.09 : x
  2. Step 2: Convert to fraction form
    3,205.84/4,796.11 = 2,428.09/x
  3. Step 3: Cross multiply
    3,205.84x = 4,796.11 × 2,428.09
  4. Step 4: Simplify right side
    3,205.84x = 11,645,350.61
  5. Step 5: Solve for x
    x = 11,645,350.61/3,205.84
  6. Step 6: Final answer
    x = 3,632.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.