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Finding the Fourth Proportional to 3,460.44, 5,183.46 and 2,874

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Solution

The fourth proportional to 3,460.44, 5,183.46 and 2,874 is: 4,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.44 : 5,183.46 = 2,874 : x
  2. Step 2: Convert to fraction form
    3,460.44/5,183.46 = 2,874/x
  3. Step 3: Cross multiply
    3,460.44x = 5,183.46 × 2,874
  4. Step 4: Simplify right side
    3,460.44x = 14,897,264.04
  5. Step 5: Solve for x
    x = 14,897,264.04/3,460.44
  6. Step 6: Final answer
    x = 4,305.02

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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.