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Finding the Fourth Proportional to 4,765.50, 7,150.41 and 2,299.86

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Solution

The fourth proportional to 4,765.50, 7,150.41 and 2,299.86 is: 3,450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.50 : 7,150.41 = 2,299.86 : x
  2. Step 2: Convert to fraction form
    4,765.50/7,150.41 = 2,299.86/x
  3. Step 3: Cross multiply
    4,765.50x = 7,150.41 × 2,299.86
  4. Step 4: Simplify right side
    4,765.50x = 16,444,941.94
  5. Step 5: Solve for x
    x = 16,444,941.94/4,765.50
  6. Step 6: Final answer
    x = 3,450.83

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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.