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Finding the Fourth Proportional to 3,205.87, 4,796.15 and 2,428.11

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Solution

The fourth proportional to 3,205.87, 4,796.15 and 2,428.11 is: 3,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.87 : 4,796.15 = 2,428.11 : x
  2. Step 2: Convert to fraction form
    3,205.87/4,796.15 = 2,428.11/x
  3. Step 3: Cross multiply
    3,205.87x = 4,796.15 × 2,428.11
  4. Step 4: Simplify right side
    3,205.87x = 11,645,597.84
  5. Step 5: Solve for x
    x = 11,645,597.84/3,205.87
  6. Step 6: Final answer
    x = 3,632.59

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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.