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Finding the Fourth Proportional to 5,114.96, 7,672.72 and 2,191.28

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Solution

The fourth proportional to 5,114.96, 7,672.72 and 2,191.28 is: 3,287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.96 : 7,672.72 = 2,191.28 : x
  2. Step 2: Convert to fraction form
    5,114.96/7,672.72 = 2,191.28/x
  3. Step 3: Cross multiply
    5,114.96x = 7,672.72 × 2,191.28
  4. Step 4: Simplify right side
    5,114.96x = 16,813,077.88
  5. Step 5: Solve for x
    x = 16,813,077.88/5,114.96
  6. Step 6: Final answer
    x = 3,287.04

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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.