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Finding the Fourth Proportional to 3,794, 5,232.36 and 2,466.44

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Solution

The fourth proportional to 3,794, 5,232.36 and 2,466.44 is: 3,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794 : 5,232.36 = 2,466.44 : x
  2. Step 2: Convert to fraction form
    3,794/5,232.36 = 2,466.44/x
  3. Step 3: Cross multiply
    3,794x = 5,232.36 × 2,466.44
  4. Step 4: Simplify right side
    3,794x = 12,905,302.00
  5. Step 5: Solve for x
    x = 12,905,302.00/3,794
  6. Step 6: Final answer
    x = 3,401.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.