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Finding the Fourth Proportional to 3,748.50, 5,622.89 and 1,408.25

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Solution

The fourth proportional to 3,748.50, 5,622.89 and 1,408.25 is: 2,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.50 : 5,622.89 = 1,408.25 : x
  2. Step 2: Convert to fraction form
    3,748.50/5,622.89 = 1,408.25/x
  3. Step 3: Cross multiply
    3,748.50x = 5,622.89 × 1,408.25
  4. Step 4: Simplify right side
    3,748.50x = 7,918,441.86
  5. Step 5: Solve for x
    x = 7,918,441.86/3,748.50
  6. Step 6: Final answer
    x = 2,112.43

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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.