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Finding the Fourth Proportional to 5,168.88, 7,748.28 and 2,244.96

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Solution

The fourth proportional to 5,168.88, 7,748.28 and 2,244.96 is: 3,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.88 : 7,748.28 = 2,244.96 : x
  2. Step 2: Convert to fraction form
    5,168.88/7,748.28 = 2,244.96/x
  3. Step 3: Cross multiply
    5,168.88x = 7,748.28 × 2,244.96
  4. Step 4: Simplify right side
    5,168.88x = 17,394,578.67
  5. Step 5: Solve for x
    x = 17,394,578.67/5,168.88
  6. Step 6: Final answer
    x = 3,365.25

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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.