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Finding the Fourth Proportional to 3,309.68, 4,964.64 and 844.56

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Solution

The fourth proportional to 3,309.68, 4,964.64 and 844.56 is: 1,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.68 : 4,964.64 = 844.56 : x
  2. Step 2: Convert to fraction form
    3,309.68/4,964.64 = 844.56/x
  3. Step 3: Cross multiply
    3,309.68x = 4,964.64 × 844.56
  4. Step 4: Simplify right side
    3,309.68x = 4,192,936.36
  5. Step 5: Solve for x
    x = 4,192,936.36/3,309.68
  6. Step 6: Final answer
    x = 1,266.87

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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.