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Finding the Fourth Proportional to 3,845.88, 5,765.20 and 3,503.50

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Solution

The fourth proportional to 3,845.88, 5,765.20 and 3,503.50 is: 5,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.88 : 5,765.20 = 3,503.50 : x
  2. Step 2: Convert to fraction form
    3,845.88/5,765.20 = 3,503.50/x
  3. Step 3: Cross multiply
    3,845.88x = 5,765.20 × 3,503.50
  4. Step 4: Simplify right side
    3,845.88x = 20,198,378.20
  5. Step 5: Solve for x
    x = 20,198,378.20/3,845.88
  6. Step 6: Final answer
    x = 5,251.95

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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.