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Finding the Fourth Proportional to 5,859, 8,789.72 and 2,396.25

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Solution

The fourth proportional to 5,859, 8,789.72 and 2,396.25 is: 3,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859 : 8,789.72 = 2,396.25 : x
  2. Step 2: Convert to fraction form
    5,859/8,789.72 = 2,396.25/x
  3. Step 3: Cross multiply
    5,859x = 8,789.72 × 2,396.25
  4. Step 4: Simplify right side
    5,859x = 21,062,354.57
  5. Step 5: Solve for x
    x = 21,062,354.57/5,859
  6. Step 6: Final answer
    x = 3,594.87

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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.