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Finding the Fourth Proportional to 3,546.72, 4,893.84 and 2,304

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Solution

The fourth proportional to 3,546.72, 4,893.84 and 2,304 is: 3,179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.72 : 4,893.84 = 2,304 : x
  2. Step 2: Convert to fraction form
    3,546.72/4,893.84 = 2,304/x
  3. Step 3: Cross multiply
    3,546.72x = 4,893.84 × 2,304
  4. Step 4: Simplify right side
    3,546.72x = 11,275,407.36
  5. Step 5: Solve for x
    x = 11,275,407.36/3,546.72
  6. Step 6: Final answer
    x = 3,179.11

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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.