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Finding the Fourth Proportional to 3,920.97, 5,411.70 and 2,327.97

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Solution

The fourth proportional to 3,920.97, 5,411.70 and 2,327.97 is: 3,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.97 : 5,411.70 = 2,327.97 : x
  2. Step 2: Convert to fraction form
    3,920.97/5,411.70 = 2,327.97/x
  3. Step 3: Cross multiply
    3,920.97x = 5,411.70 × 2,327.97
  4. Step 4: Simplify right side
    3,920.97x = 12,598,275.25
  5. Step 5: Solve for x
    x = 12,598,275.25/3,920.97
  6. Step 6: Final answer
    x = 3,213.05

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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.