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Finding the Fourth Proportional to 5,467.40, 8,200.14 and 1,956.84

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Solution

The fourth proportional to 5,467.40, 8,200.14 and 1,956.84 is: 2,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.40 : 8,200.14 = 1,956.84 : x
  2. Step 2: Convert to fraction form
    5,467.40/8,200.14 = 1,956.84/x
  3. Step 3: Cross multiply
    5,467.40x = 8,200.14 × 1,956.84
  4. Step 4: Simplify right side
    5,467.40x = 16,046,361.96
  5. Step 5: Solve for x
    x = 16,046,361.96/5,467.40
  6. Step 6: Final answer
    x = 2,934.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.