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Finding the Fourth Proportional to 4,019.44, 6,029.16 and 1,966

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Solution

The fourth proportional to 4,019.44, 6,029.16 and 1,966 is: 2,949

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,019.44 : 6,029.16 = 1,966 : x
  2. Step 2: Convert to fraction form
    4,019.44/6,029.16 = 1,966/x
  3. Step 3: Cross multiply
    4,019.44x = 6,029.16 × 1,966
  4. Step 4: Simplify right side
    4,019.44x = 11,853,328.56
  5. Step 5: Solve for x
    x = 11,853,328.56/4,019.44
  6. Step 6: Final answer
    x = 2,949

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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.