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Finding the Fourth Proportional to 6,202.85, 9,310.43 and 2,918.25

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Solution

The fourth proportional to 6,202.85, 9,310.43 and 2,918.25 is: 4,380.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.85 : 9,310.43 = 2,918.25 : x
  2. Step 2: Convert to fraction form
    6,202.85/9,310.43 = 2,918.25/x
  3. Step 3: Cross multiply
    6,202.85x = 9,310.43 × 2,918.25
  4. Step 4: Simplify right side
    6,202.85x = 27,170,169.64
  5. Step 5: Solve for x
    x = 27,170,169.64/6,202.85
  6. Step 6: Final answer
    x = 4,380.28

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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.