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Finding the Fourth Proportional to 5,912.57, 8,869.73 and 2,164.52

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Solution

The fourth proportional to 5,912.57, 8,869.73 and 2,164.52 is: 3,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.57 : 8,869.73 = 2,164.52 : x
  2. Step 2: Convert to fraction form
    5,912.57/8,869.73 = 2,164.52/x
  3. Step 3: Cross multiply
    5,912.57x = 8,869.73 × 2,164.52
  4. Step 4: Simplify right side
    5,912.57x = 19,198,725.42
  5. Step 5: Solve for x
    x = 19,198,725.42/5,912.57
  6. Step 6: Final answer
    x = 3,247.10

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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.