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Finding the Fourth Proportional to 5,194.53, 7,168.50 and 2,956.30

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Solution

The fourth proportional to 5,194.53, 7,168.50 and 2,956.30 is: 4,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.53 : 7,168.50 = 2,956.30 : x
  2. Step 2: Convert to fraction form
    5,194.53/7,168.50 = 2,956.30/x
  3. Step 3: Cross multiply
    5,194.53x = 7,168.50 × 2,956.30
  4. Step 4: Simplify right side
    5,194.53x = 21,192,218.63
  5. Step 5: Solve for x
    x = 21,192,218.63/5,194.53
  6. Step 6: Final answer
    x = 4,079.72

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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.