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Finding the Fourth Proportional to 6,225, 8,591.04 and 3,431.04

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Solution

The fourth proportional to 6,225, 8,591.04 and 3,431.04 is: 4,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225 : 8,591.04 = 3,431.04 : x
  2. Step 2: Convert to fraction form
    6,225/8,591.04 = 3,431.04/x
  3. Step 3: Cross multiply
    6,225x = 8,591.04 × 3,431.04
  4. Step 4: Simplify right side
    6,225x = 29,476,201.88
  5. Step 5: Solve for x
    x = 29,476,201.88/6,225
  6. Step 6: Final answer
    x = 4,735.13

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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.