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Finding the Fourth Proportional to 5,967.06, 8,947.86 and 3,193.26

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Solution

The fourth proportional to 5,967.06, 8,947.86 and 3,193.26 is: 4,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.06 : 8,947.86 = 3,193.26 : x
  2. Step 2: Convert to fraction form
    5,967.06/8,947.86 = 3,193.26/x
  3. Step 3: Cross multiply
    5,967.06x = 8,947.86 × 3,193.26
  4. Step 4: Simplify right side
    5,967.06x = 28,572,843.42
  5. Step 5: Solve for x
    x = 28,572,843.42/5,967.06
  6. Step 6: Final answer
    x = 4,788.43

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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.