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Finding the Fourth Proportional to 4,961.14, 6,846.36 and 2,865.28

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Solution

The fourth proportional to 4,961.14, 6,846.36 and 2,865.28 is: 3,954.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.14 : 6,846.36 = 2,865.28 : x
  2. Step 2: Convert to fraction form
    4,961.14/6,846.36 = 2,865.28/x
  3. Step 3: Cross multiply
    4,961.14x = 6,846.36 × 2,865.28
  4. Step 4: Simplify right side
    4,961.14x = 19,616,738.38
  5. Step 5: Solve for x
    x = 19,616,738.38/4,961.14
  6. Step 6: Final answer
    x = 3,954.08

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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.