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Finding the Fourth Proportional to 5,975.53, 8,964.11 and 2,079.43

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Solution

The fourth proportional to 5,975.53, 8,964.11 and 2,079.43 is: 3,119.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.53 : 8,964.11 = 2,079.43 : x
  2. Step 2: Convert to fraction form
    5,975.53/8,964.11 = 2,079.43/x
  3. Step 3: Cross multiply
    5,975.53x = 8,964.11 × 2,079.43
  4. Step 4: Simplify right side
    5,975.53x = 18,640,239.26
  5. Step 5: Solve for x
    x = 18,640,239.26/5,975.53
  6. Step 6: Final answer
    x = 3,119.43

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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.