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Finding the Fourth Proportional to 5,680.81, 8,522.62 and 1,983.09

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Solution

The fourth proportional to 5,680.81, 8,522.62 and 1,983.09 is: 2,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.81 : 8,522.62 = 1,983.09 : x
  2. Step 2: Convert to fraction form
    5,680.81/8,522.62 = 1,983.09/x
  3. Step 3: Cross multiply
    5,680.81x = 8,522.62 × 1,983.09
  4. Step 4: Simplify right side
    5,680.81x = 16,901,122.50
  5. Step 5: Solve for x
    x = 16,901,122.50/5,680.81
  6. Step 6: Final answer
    x = 2,975.13

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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.