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Finding the Fourth Proportional to 4,589.21, 6,883.71 and 1,469.21

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Solution

The fourth proportional to 4,589.21, 6,883.71 and 1,469.21 is: 2,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.21 : 6,883.71 = 1,469.21 : x
  2. Step 2: Convert to fraction form
    4,589.21/6,883.71 = 1,469.21/x
  3. Step 3: Cross multiply
    4,589.21x = 6,883.71 × 1,469.21
  4. Step 4: Simplify right side
    4,589.21x = 10,113,581.15
  5. Step 5: Solve for x
    x = 10,113,581.15/4,589.21
  6. Step 6: Final answer
    x = 2,203.78

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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.