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Finding the Fourth Proportional to 3,216.84, 4,817.64 and 2,751.96

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Solution

The fourth proportional to 3,216.84, 4,817.64 and 2,751.96 is: 4,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.84 : 4,817.64 = 2,751.96 : x
  2. Step 2: Convert to fraction form
    3,216.84/4,817.64 = 2,751.96/x
  3. Step 3: Cross multiply
    3,216.84x = 4,817.64 × 2,751.96
  4. Step 4: Simplify right side
    3,216.84x = 13,257,952.57
  5. Step 5: Solve for x
    x = 13,257,952.57/3,216.84
  6. Step 6: Final answer
    x = 4,121.42

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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.