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Finding the Fourth Proportional to 3,546.01, 4,889.04 and 2,284.97

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Solution

The fourth proportional to 3,546.01, 4,889.04 and 2,284.97 is: 3,150.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.01 : 4,889.04 = 2,284.97 : x
  2. Step 2: Convert to fraction form
    3,546.01/4,889.04 = 2,284.97/x
  3. Step 3: Cross multiply
    3,546.01x = 4,889.04 × 2,284.97
  4. Step 4: Simplify right side
    3,546.01x = 11,171,309.73
  5. Step 5: Solve for x
    x = 11,171,309.73/3,546.01
  6. Step 6: Final answer
    x = 3,150.39

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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.