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Finding the Fourth Proportional to 5,468.76, 8,204.04 and 2,181.96

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Solution

The fourth proportional to 5,468.76, 8,204.04 and 2,181.96 is: 3,273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.76 : 8,204.04 = 2,181.96 : x
  2. Step 2: Convert to fraction form
    5,468.76/8,204.04 = 2,181.96/x
  3. Step 3: Cross multiply
    5,468.76x = 8,204.04 × 2,181.96
  4. Step 4: Simplify right side
    5,468.76x = 17,900,887.12
  5. Step 5: Solve for x
    x = 17,900,887.12/5,468.76
  6. Step 6: Final answer
    x = 3,273.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.