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Finding the Fourth Proportional to 3,491.19, 5,211.05 and 3,198.92

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Solution

The fourth proportional to 3,491.19, 5,211.05 and 3,198.92 is: 4,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.19 : 5,211.05 = 3,198.92 : x
  2. Step 2: Convert to fraction form
    3,491.19/5,211.05 = 3,198.92/x
  3. Step 3: Cross multiply
    3,491.19x = 5,211.05 × 3,198.92
  4. Step 4: Simplify right side
    3,491.19x = 16,669,690.02
  5. Step 5: Solve for x
    x = 16,669,690.02/3,491.19
  6. Step 6: Final answer
    x = 4,774.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.