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Finding the Fourth Proportional to 5,192, 7,164.96 and 2,984

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Solution

The fourth proportional to 5,192, 7,164.96 and 2,984 is: 4,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192 : 7,164.96 = 2,984 : x
  2. Step 2: Convert to fraction form
    5,192/7,164.96 = 2,984/x
  3. Step 3: Cross multiply
    5,192x = 7,164.96 × 2,984
  4. Step 4: Simplify right side
    5,192x = 21,380,240.64
  5. Step 5: Solve for x
    x = 21,380,240.64/5,192
  6. Step 6: Final answer
    x = 4,117.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.