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Finding the Fourth Proportional to 3,993.14, 5,978.70 and 3,016.28

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Solution

The fourth proportional to 3,993.14, 5,978.70 and 3,016.28 is: 4,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.14 : 5,978.70 = 3,016.28 : x
  2. Step 2: Convert to fraction form
    3,993.14/5,978.70 = 3,016.28/x
  3. Step 3: Cross multiply
    3,993.14x = 5,978.70 × 3,016.28
  4. Step 4: Simplify right side
    3,993.14x = 18,033,433.24
  5. Step 5: Solve for x
    x = 18,033,433.24/3,993.14
  6. Step 6: Final answer
    x = 4,516.10

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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.