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Finding the Fourth Proportional to 3,926.50, 5,891.38 and 2,446.96

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Solution

The fourth proportional to 3,926.50, 5,891.38 and 2,446.96 is: 3,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.50 : 5,891.38 = 2,446.96 : x
  2. Step 2: Convert to fraction form
    3,926.50/5,891.38 = 2,446.96/x
  3. Step 3: Cross multiply
    3,926.50x = 5,891.38 × 2,446.96
  4. Step 4: Simplify right side
    3,926.50x = 14,415,971.20
  5. Step 5: Solve for x
    x = 14,415,971.20/3,926.50
  6. Step 6: Final answer
    x = 3,671.46

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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.