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Finding the Fourth Proportional to 3,736, 5,154.84 and 2,741.44

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Solution

The fourth proportional to 3,736, 5,154.84 and 2,741.44 is: 3,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736 : 5,154.84 = 2,741.44 : x
  2. Step 2: Convert to fraction form
    3,736/5,154.84 = 2,741.44/x
  3. Step 3: Cross multiply
    3,736x = 5,154.84 × 2,741.44
  4. Step 4: Simplify right side
    3,736x = 14,131,684.57
  5. Step 5: Solve for x
    x = 14,131,684.57/3,736
  6. Step 6: Final answer
    x = 3,782.57

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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.