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Finding the Fourth Proportional to 4,719, 7,081.38 and 1,983

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Solution

The fourth proportional to 4,719, 7,081.38 and 1,983 is: 2,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719 : 7,081.38 = 1,983 : x
  2. Step 2: Convert to fraction form
    4,719/7,081.38 = 1,983/x
  3. Step 3: Cross multiply
    4,719x = 7,081.38 × 1,983
  4. Step 4: Simplify right side
    4,719x = 14,042,376.54
  5. Step 5: Solve for x
    x = 14,042,376.54/4,719
  6. Step 6: Final answer
    x = 2,975.71

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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.