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Finding the Fourth Proportional to 3,309.59, 4,964.42 and 844.41

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Solution

The fourth proportional to 3,309.59, 4,964.42 and 844.41 is: 1,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.59 : 4,964.42 = 844.41 : x
  2. Step 2: Convert to fraction form
    3,309.59/4,964.42 = 844.41/x
  3. Step 3: Cross multiply
    3,309.59x = 4,964.42 × 844.41
  4. Step 4: Simplify right side
    3,309.59x = 4,192,001.67
  5. Step 5: Solve for x
    x = 4,192,001.67/3,309.59
  6. Step 6: Final answer
    x = 1,266.62

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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.