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Finding the Fourth Proportional to 3,213.71, 4,433.91 and 1,797.20

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Solution

The fourth proportional to 3,213.71, 4,433.91 and 1,797.20 is: 2,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.71 : 4,433.91 = 1,797.20 : x
  2. Step 2: Convert to fraction form
    3,213.71/4,433.91 = 1,797.20/x
  3. Step 3: Cross multiply
    3,213.71x = 4,433.91 × 1,797.20
  4. Step 4: Simplify right side
    3,213.71x = 7,968,600.88
  5. Step 5: Solve for x
    x = 7,968,600.88/3,213.71
  6. Step 6: Final answer
    x = 2,479.57

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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.