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Finding the Fourth Proportional to 5,118.96, 7,678.72 and 2,195.28

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Solution

The fourth proportional to 5,118.96, 7,678.72 and 2,195.28 is: 3,293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.96 : 7,678.72 = 2,195.28 : x
  2. Step 2: Convert to fraction form
    5,118.96/7,678.72 = 2,195.28/x
  3. Step 3: Cross multiply
    5,118.96x = 7,678.72 × 2,195.28
  4. Step 4: Simplify right side
    5,118.96x = 16,856,940.44
  5. Step 5: Solve for x
    x = 16,856,940.44/5,118.96
  6. Step 6: Final answer
    x = 3,293.04

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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.