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Finding the Fourth Proportional to 3,910.63, 5,864.10 and 2,267.63

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Solution

The fourth proportional to 3,910.63, 5,864.10 and 2,267.63 is: 3,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.63 : 5,864.10 = 2,267.63 : x
  2. Step 2: Convert to fraction form
    3,910.63/5,864.10 = 2,267.63/x
  3. Step 3: Cross multiply
    3,910.63x = 5,864.10 × 2,267.63
  4. Step 4: Simplify right side
    3,910.63x = 13,297,609.08
  5. Step 5: Solve for x
    x = 13,297,609.08/3,910.63
  6. Step 6: Final answer
    x = 3,400.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.