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Finding the Fourth Proportional to 3,914.40, 5,864.40 and 3,295.20

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Solution

The fourth proportional to 3,914.40, 5,864.40 and 3,295.20 is: 4,936.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.40 : 5,864.40 = 3,295.20 : x
  2. Step 2: Convert to fraction form
    3,914.40/5,864.40 = 3,295.20/x
  3. Step 3: Cross multiply
    3,914.40x = 5,864.40 × 3,295.20
  4. Step 4: Simplify right side
    3,914.40x = 19,324,370.88
  5. Step 5: Solve for x
    x = 19,324,370.88/3,914.40
  6. Step 6: Final answer
    x = 4,936.74

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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.