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Finding the Fourth Proportional to 4,738.96, 7,102.50 and 3,647.44

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Solution

The fourth proportional to 4,738.96, 7,102.50 and 3,647.44 is: 5,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.96 : 7,102.50 = 3,647.44 : x
  2. Step 2: Convert to fraction form
    4,738.96/7,102.50 = 3,647.44/x
  3. Step 3: Cross multiply
    4,738.96x = 7,102.50 × 3,647.44
  4. Step 4: Simplify right side
    4,738.96x = 25,905,942.60
  5. Step 5: Solve for x
    x = 25,905,942.60/4,738.96
  6. Step 6: Final answer
    x = 5,466.59

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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.