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Finding the Fourth Proportional to 5,912.96, 8,865.41 and 2,947.64

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Solution

The fourth proportional to 5,912.96, 8,865.41 and 2,947.64 is: 4,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.96 : 8,865.41 = 2,947.64 : x
  2. Step 2: Convert to fraction form
    5,912.96/8,865.41 = 2,947.64/x
  3. Step 3: Cross multiply
    5,912.96x = 8,865.41 × 2,947.64
  4. Step 4: Simplify right side
    5,912.96x = 26,131,978.07
  5. Step 5: Solve for x
    x = 26,131,978.07/5,912.96
  6. Step 6: Final answer
    x = 4,419.44

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Why These Related Problems?

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