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Finding the Fourth Proportional to 3,742.03, 5,164.04 and 2,063.44

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Solution

The fourth proportional to 3,742.03, 5,164.04 and 2,063.44 is: 2,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.03 : 5,164.04 = 2,063.44 : x
  2. Step 2: Convert to fraction form
    3,742.03/5,164.04 = 2,063.44/x
  3. Step 3: Cross multiply
    3,742.03x = 5,164.04 × 2,063.44
  4. Step 4: Simplify right side
    3,742.03x = 10,655,650.56
  5. Step 5: Solve for x
    x = 10,655,650.56/3,742.03
  6. Step 6: Final answer
    x = 2,847.56

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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.