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Finding the Fourth Proportional to 5,491.43, 7,578.45 and 3,133.52

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Solution

The fourth proportional to 5,491.43, 7,578.45 and 3,133.52 is: 4,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.43 : 7,578.45 = 3,133.52 : x
  2. Step 2: Convert to fraction form
    5,491.43/7,578.45 = 3,133.52/x
  3. Step 3: Cross multiply
    5,491.43x = 7,578.45 × 3,133.52
  4. Step 4: Simplify right side
    5,491.43x = 23,747,186.75
  5. Step 5: Solve for x
    x = 23,747,186.75/5,491.43
  6. Step 6: Final answer
    x = 4,324.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.