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Finding the Fourth Proportional to 5,446.26, 8,164.80 and 2,526.66

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Solution

The fourth proportional to 5,446.26, 8,164.80 and 2,526.66 is: 3,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.26 : 8,164.80 = 2,526.66 : x
  2. Step 2: Convert to fraction form
    5,446.26/8,164.80 = 2,526.66/x
  3. Step 3: Cross multiply
    5,446.26x = 8,164.80 × 2,526.66
  4. Step 4: Simplify right side
    5,446.26x = 20,629,673.57
  5. Step 5: Solve for x
    x = 20,629,673.57/5,446.26
  6. Step 6: Final answer
    x = 3,787.86

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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.