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Finding the Fourth Proportional to 3,914.35, 5,401.21 and 2,235.40

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Solution

The fourth proportional to 3,914.35, 5,401.21 and 2,235.40 is: 3,084.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.35 : 5,401.21 = 2,235.40 : x
  2. Step 2: Convert to fraction form
    3,914.35/5,401.21 = 2,235.40/x
  3. Step 3: Cross multiply
    3,914.35x = 5,401.21 × 2,235.40
  4. Step 4: Simplify right side
    3,914.35x = 12,073,857.79
  5. Step 5: Solve for x
    x = 12,073,857.79/3,914.35
  6. Step 6: Final answer
    x = 3,084.51

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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.