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Finding the Fourth Proportional to 3,735.21, 5,591.78 and 3,273.86

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Solution

The fourth proportional to 3,735.21, 5,591.78 and 3,273.86 is: 4,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.21 : 5,591.78 = 3,273.86 : x
  2. Step 2: Convert to fraction form
    3,735.21/5,591.78 = 3,273.86/x
  3. Step 3: Cross multiply
    3,735.21x = 5,591.78 × 3,273.86
  4. Step 4: Simplify right side
    3,735.21x = 18,306,688.50
  5. Step 5: Solve for x
    x = 18,306,688.50/3,735.21
  6. Step 6: Final answer
    x = 4,901.11

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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.