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Finding the Fourth Proportional to 3,953.68, 5,456.16 and 2,381.44

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Solution

The fourth proportional to 3,953.68, 5,456.16 and 2,381.44 is: 3,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.68 : 5,456.16 = 2,381.44 : x
  2. Step 2: Convert to fraction form
    3,953.68/5,456.16 = 2,381.44/x
  3. Step 3: Cross multiply
    3,953.68x = 5,456.16 × 2,381.44
  4. Step 4: Simplify right side
    3,953.68x = 12,993,517.67
  5. Step 5: Solve for x
    x = 12,993,517.67/3,953.68
  6. Step 6: Final answer
    x = 3,286.44

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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.