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Finding the Fourth Proportional to 5,189.54, 7,784.30 and 1,491.22

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Solution

The fourth proportional to 5,189.54, 7,784.30 and 1,491.22 is: 2,236.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.54 : 7,784.30 = 1,491.22 : x
  2. Step 2: Convert to fraction form
    5,189.54/7,784.30 = 1,491.22/x
  3. Step 3: Cross multiply
    5,189.54x = 7,784.30 × 1,491.22
  4. Step 4: Simplify right side
    5,189.54x = 11,608,103.85
  5. Step 5: Solve for x
    x = 11,608,103.85/5,189.54
  6. Step 6: Final answer
    x = 2,236.83

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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.