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Finding the Fourth Proportional to 5,047.28, 6,964.70 and 3,057.38

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Solution

The fourth proportional to 5,047.28, 6,964.70 and 3,057.38 is: 4,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.28 : 6,964.70 = 3,057.38 : x
  2. Step 2: Convert to fraction form
    5,047.28/6,964.70 = 3,057.38/x
  3. Step 3: Cross multiply
    5,047.28x = 6,964.70 × 3,057.38
  4. Step 4: Simplify right side
    5,047.28x = 21,293,734.49
  5. Step 5: Solve for x
    x = 21,293,734.49/5,047.28
  6. Step 6: Final answer
    x = 4,218.85

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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.