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Finding the Fourth Proportional to 5,468.84, 8,204.04 and 2,005.28

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Solution

The fourth proportional to 5,468.84, 8,204.04 and 2,005.28 is: 3,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.84 : 8,204.04 = 2,005.28 : x
  2. Step 2: Convert to fraction form
    5,468.84/8,204.04 = 2,005.28/x
  3. Step 3: Cross multiply
    5,468.84x = 8,204.04 × 2,005.28
  4. Step 4: Simplify right side
    5,468.84x = 16,451,397.33
  5. Step 5: Solve for x
    x = 16,451,397.33/5,468.84
  6. Step 6: Final answer
    x = 3,008.21

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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.