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Finding the Fourth Proportional to 5,589.50, 8,384.25 and 1,694.21

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Solution

The fourth proportional to 5,589.50, 8,384.25 and 1,694.21 is: 2,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.50 : 8,384.25 = 1,694.21 : x
  2. Step 2: Convert to fraction form
    5,589.50/8,384.25 = 1,694.21/x
  3. Step 3: Cross multiply
    5,589.50x = 8,384.25 × 1,694.21
  4. Step 4: Simplify right side
    5,589.50x = 14,204,680.19
  5. Step 5: Solve for x
    x = 14,204,680.19/5,589.50
  6. Step 6: Final answer
    x = 2,541.32

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Why These Related Problems?

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