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Finding the Fourth Proportional to 5,491.48, 8,227.50 and 4,561.60

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Solution

The fourth proportional to 5,491.48, 8,227.50 and 4,561.60 is: 6,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.48 : 8,227.50 = 4,561.60 : x
  2. Step 2: Convert to fraction form
    5,491.48/8,227.50 = 4,561.60/x
  3. Step 3: Cross multiply
    5,491.48x = 8,227.50 × 4,561.60
  4. Step 4: Simplify right side
    5,491.48x = 37,530,564
  5. Step 5: Solve for x
    x = 37,530,564/5,491.48
  6. Step 6: Final answer
    x = 6,834.33

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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.