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Finding the Fourth Proportional to 3,742.05, 5,164 and 2,063.46

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Solution

The fourth proportional to 3,742.05, 5,164 and 2,063.46 is: 2,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.05 : 5,164 = 2,063.46 : x
  2. Step 2: Convert to fraction form
    3,742.05/5,164 = 2,063.46/x
  3. Step 3: Cross multiply
    3,742.05x = 5,164 × 2,063.46
  4. Step 4: Simplify right side
    3,742.05x = 10,655,707.44
  5. Step 5: Solve for x
    x = 10,655,707.44/3,742.05
  6. Step 6: Final answer
    x = 2,847.56

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