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Finding the Fourth Proportional to 5,464, 8,196 and 1,816

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Solution

The fourth proportional to 5,464, 8,196 and 1,816 is: 2,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464 : 8,196 = 1,816 : x
  2. Step 2: Convert to fraction form
    5,464/8,196 = 1,816/x
  3. Step 3: Cross multiply
    5,464x = 8,196 × 1,816
  4. Step 4: Simplify right side
    5,464x = 14,883,936
  5. Step 5: Solve for x
    x = 14,883,936/5,464
  6. Step 6: Final answer
    x = 2,724

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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.