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Finding the Fourth Proportional to 3,306, 4,959.83 and 997.50

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Solution

The fourth proportional to 3,306, 4,959.83 and 997.50 is: 1,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306 : 4,959.83 = 997.50 : x
  2. Step 2: Convert to fraction form
    3,306/4,959.83 = 997.50/x
  3. Step 3: Cross multiply
    3,306x = 4,959.83 × 997.50
  4. Step 4: Simplify right side
    3,306x = 4,947,425.44
  5. Step 5: Solve for x
    x = 4,947,425.44/3,306
  6. Step 6: Final answer
    x = 1,496.50

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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.