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Finding the Fourth Proportional to 3,920.64, 5,410.13 and 2,241.99

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Solution

The fourth proportional to 3,920.64, 5,410.13 and 2,241.99 is: 3,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.64 : 5,410.13 = 2,241.99 : x
  2. Step 2: Convert to fraction form
    3,920.64/5,410.13 = 2,241.99/x
  3. Step 3: Cross multiply
    3,920.64x = 5,410.13 × 2,241.99
  4. Step 4: Simplify right side
    3,920.64x = 12,129,446.15
  5. Step 5: Solve for x
    x = 12,129,446.15/3,920.64
  6. Step 6: Final answer
    x = 3,093.74

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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.