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Finding the Fourth Proportional to 5,194.89, 7,169.34 and 2,956.86

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Solution

The fourth proportional to 5,194.89, 7,169.34 and 2,956.86 is: 4,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.89 : 7,169.34 = 2,956.86 : x
  2. Step 2: Convert to fraction form
    5,194.89/7,169.34 = 2,956.86/x
  3. Step 3: Cross multiply
    5,194.89x = 7,169.34 × 2,956.86
  4. Step 4: Simplify right side
    5,194.89x = 21,198,734.67
  5. Step 5: Solve for x
    x = 21,198,734.67/5,194.89
  6. Step 6: Final answer
    x = 4,080.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.