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Finding the Fourth Proportional to 5,488.67, 8,233.73 and 1,789.61

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Solution

The fourth proportional to 5,488.67, 8,233.73 and 1,789.61 is: 2,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.67 : 8,233.73 = 1,789.61 : x
  2. Step 2: Convert to fraction form
    5,488.67/8,233.73 = 1,789.61/x
  3. Step 3: Cross multiply
    5,488.67x = 8,233.73 × 1,789.61
  4. Step 4: Simplify right side
    5,488.67x = 14,735,115.43
  5. Step 5: Solve for x
    x = 14,735,115.43/5,488.67
  6. Step 6: Final answer
    x = 2,684.64

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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.