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Finding the Fourth Proportional to 5,491.09, 7,578.24 and 3,133.58

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Solution

The fourth proportional to 5,491.09, 7,578.24 and 3,133.58 is: 4,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.09 : 7,578.24 = 3,133.58 : x
  2. Step 2: Convert to fraction form
    5,491.09/7,578.24 = 3,133.58/x
  3. Step 3: Cross multiply
    5,491.09x = 7,578.24 × 3,133.58
  4. Step 4: Simplify right side
    5,491.09x = 23,747,021.30
  5. Step 5: Solve for x
    x = 23,747,021.30/5,491.09
  6. Step 6: Final answer
    x = 4,324.65

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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.