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Finding the Fourth Proportional to 5,446.90, 8,164.50 and 2,155.42

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Solution

The fourth proportional to 5,446.90, 8,164.50 and 2,155.42 is: 3,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.90 : 8,164.50 = 2,155.42 : x
  2. Step 2: Convert to fraction form
    5,446.90/8,164.50 = 2,155.42/x
  3. Step 3: Cross multiply
    5,446.90x = 8,164.50 × 2,155.42
  4. Step 4: Simplify right side
    5,446.90x = 17,597,926.59
  5. Step 5: Solve for x
    x = 17,597,926.59/5,446.90
  6. Step 6: Final answer
    x = 3,230.82

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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.