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Finding the Fourth Proportional to 4,813.68, 7,222.44 and 2,217.84

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Solution

The fourth proportional to 4,813.68, 7,222.44 and 2,217.84 is: 3,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.68 : 7,222.44 = 2,217.84 : x
  2. Step 2: Convert to fraction form
    4,813.68/7,222.44 = 2,217.84/x
  3. Step 3: Cross multiply
    4,813.68x = 7,222.44 × 2,217.84
  4. Step 4: Simplify right side
    4,813.68x = 16,018,216.33
  5. Step 5: Solve for x
    x = 16,018,216.33/4,813.68
  6. Step 6: Final answer
    x = 3,327.64

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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.