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Finding the Fourth Proportional to 3,979.38, 5,491.71 and 2,211

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Solution

The fourth proportional to 3,979.38, 5,491.71 and 2,211 is: 3,051.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.38 : 5,491.71 = 2,211 : x
  2. Step 2: Convert to fraction form
    3,979.38/5,491.71 = 2,211/x
  3. Step 3: Cross multiply
    3,979.38x = 5,491.71 × 2,211
  4. Step 4: Simplify right side
    3,979.38x = 12,142,170.81
  5. Step 5: Solve for x
    x = 12,142,170.81/3,979.38
  6. Step 6: Final answer
    x = 3,051.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.