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Finding the Fourth Proportional to 3,309.81, 4,964.71 and 844.63

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Solution

The fourth proportional to 3,309.81, 4,964.71 and 844.63 is: 1,266.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.81 : 4,964.71 = 844.63 : x
  2. Step 2: Convert to fraction form
    3,309.81/4,964.71 = 844.63/x
  3. Step 3: Cross multiply
    3,309.81x = 4,964.71 × 844.63
  4. Step 4: Simplify right side
    3,309.81x = 4,193,321.01
  5. Step 5: Solve for x
    x = 4,193,321.01/3,309.81
  6. Step 6: Final answer
    x = 1,266.94

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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.