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Finding the Fourth Proportional to 4,951.28, 6,832.68 and 2,713.20

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Solution

The fourth proportional to 4,951.28, 6,832.68 and 2,713.20 is: 3,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.28 : 6,832.68 = 2,713.20 : x
  2. Step 2: Convert to fraction form
    4,951.28/6,832.68 = 2,713.20/x
  3. Step 3: Cross multiply
    4,951.28x = 6,832.68 × 2,713.20
  4. Step 4: Simplify right side
    4,951.28x = 18,538,427.38
  5. Step 5: Solve for x
    x = 18,538,427.38/4,951.28
  6. Step 6: Final answer
    x = 3,744.17

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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.