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Finding the Fourth Proportional to 3,770.94, 5,204.16 and 2,199.27

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Solution

The fourth proportional to 3,770.94, 5,204.16 and 2,199.27 is: 3,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.94 : 5,204.16 = 2,199.27 : x
  2. Step 2: Convert to fraction form
    3,770.94/5,204.16 = 2,199.27/x
  3. Step 3: Cross multiply
    3,770.94x = 5,204.16 × 2,199.27
  4. Step 4: Simplify right side
    3,770.94x = 11,445,352.96
  5. Step 5: Solve for x
    x = 11,445,352.96/3,770.94
  6. Step 6: Final answer
    x = 3,035.15

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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.