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Finding the Fourth Proportional to 3,914.42, 5,401.90 and 2,146.19

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Solution

The fourth proportional to 3,914.42, 5,401.90 and 2,146.19 is: 2,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.42 : 5,401.90 = 2,146.19 : x
  2. Step 2: Convert to fraction form
    3,914.42/5,401.90 = 2,146.19/x
  3. Step 3: Cross multiply
    3,914.42x = 5,401.90 × 2,146.19
  4. Step 4: Simplify right side
    3,914.42x = 11,593,503.76
  5. Step 5: Solve for x
    x = 11,593,503.76/3,914.42
  6. Step 6: Final answer
    x = 2,961.74

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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.