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Finding the Fourth Proportional to 3,446.56, 4,745.04 and 2,743.84

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Solution

The fourth proportional to 3,446.56, 4,745.04 and 2,743.84 is: 3,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.56 : 4,745.04 = 2,743.84 : x
  2. Step 2: Convert to fraction form
    3,446.56/4,745.04 = 2,743.84/x
  3. Step 3: Cross multiply
    3,446.56x = 4,745.04 × 2,743.84
  4. Step 4: Simplify right side
    3,446.56x = 13,019,630.55
  5. Step 5: Solve for x
    x = 13,019,630.55/3,446.56
  6. Step 6: Final answer
    x = 3,777.57

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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.