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Finding the Fourth Proportional to 3,309.66, 4,952.07 and 1,993.95

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Solution

The fourth proportional to 3,309.66, 4,952.07 and 1,993.95 is: 2,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.66 : 4,952.07 = 1,993.95 : x
  2. Step 2: Convert to fraction form
    3,309.66/4,952.07 = 1,993.95/x
  3. Step 3: Cross multiply
    3,309.66x = 4,952.07 × 1,993.95
  4. Step 4: Simplify right side
    3,309.66x = 9,874,179.98
  5. Step 5: Solve for x
    x = 9,874,179.98/3,309.66
  6. Step 6: Final answer
    x = 2,983.44

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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.