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Finding the Fourth Proportional to 4,271.98, 6,408.21 and 1,806.46

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Solution

The fourth proportional to 4,271.98, 6,408.21 and 1,806.46 is: 2,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.98 : 6,408.21 = 1,806.46 : x
  2. Step 2: Convert to fraction form
    4,271.98/6,408.21 = 1,806.46/x
  3. Step 3: Cross multiply
    4,271.98x = 6,408.21 × 1,806.46
  4. Step 4: Simplify right side
    4,271.98x = 11,576,175.04
  5. Step 5: Solve for x
    x = 11,576,175.04/4,271.98
  6. Step 6: Final answer
    x = 2,709.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.