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Finding the Fourth Proportional to 3,217.67, 4,825.96 and 908.63

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Solution

The fourth proportional to 3,217.67, 4,825.96 and 908.63 is: 1,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.67 : 4,825.96 = 908.63 : x
  2. Step 2: Convert to fraction form
    3,217.67/4,825.96 = 908.63/x
  3. Step 3: Cross multiply
    3,217.67x = 4,825.96 × 908.63
  4. Step 4: Simplify right side
    3,217.67x = 4,384,985.63
  5. Step 5: Solve for x
    x = 4,384,985.63/3,217.67
  6. Step 6: Final answer
    x = 1,362.79

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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.