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Finding the Fourth Proportional to 5,486.08, 8,229.20 and 2,564

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Solution

The fourth proportional to 5,486.08, 8,229.20 and 2,564 is: 3,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.08 : 8,229.20 = 2,564 : x
  2. Step 2: Convert to fraction form
    5,486.08/8,229.20 = 2,564/x
  3. Step 3: Cross multiply
    5,486.08x = 8,229.20 × 2,564
  4. Step 4: Simplify right side
    5,486.08x = 21,099,668.80
  5. Step 5: Solve for x
    x = 21,099,668.80/5,486.08
  6. Step 6: Final answer
    x = 3,846.04

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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.