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Finding the Fourth Proportional to 3,979.64, 5,491.86 and 2,211.42

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Solution

The fourth proportional to 3,979.64, 5,491.86 and 2,211.42 is: 3,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.64 : 5,491.86 = 2,211.42 : x
  2. Step 2: Convert to fraction form
    3,979.64/5,491.86 = 2,211.42/x
  3. Step 3: Cross multiply
    3,979.64x = 5,491.86 × 2,211.42
  4. Step 4: Simplify right side
    3,979.64x = 12,144,809.04
  5. Step 5: Solve for x
    x = 12,144,809.04/3,979.64
  6. Step 6: Final answer
    x = 3,051.74

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