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Finding the Fourth Proportional to 3,914.22, 5,401.63 and 2,145.87

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Solution

The fourth proportional to 3,914.22, 5,401.63 and 2,145.87 is: 2,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.22 : 5,401.63 = 2,145.87 : x
  2. Step 2: Convert to fraction form
    3,914.22/5,401.63 = 2,145.87/x
  3. Step 3: Cross multiply
    3,914.22x = 5,401.63 × 2,145.87
  4. Step 4: Simplify right side
    3,914.22x = 11,591,195.77
  5. Step 5: Solve for x
    x = 11,591,195.77/3,914.22
  6. Step 6: Final answer
    x = 2,961.30

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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.