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Finding the Fourth Proportional to 3,546.46, 4,895.12 and 2,843.18

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Solution

The fourth proportional to 3,546.46, 4,895.12 and 2,843.18 is: 3,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.46 : 4,895.12 = 2,843.18 : x
  2. Step 2: Convert to fraction form
    3,546.46/4,895.12 = 2,843.18/x
  3. Step 3: Cross multiply
    3,546.46x = 4,895.12 × 2,843.18
  4. Step 4: Simplify right side
    3,546.46x = 13,917,707.28
  5. Step 5: Solve for x
    x = 13,917,707.28/3,546.46
  6. Step 6: Final answer
    x = 3,924.39

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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.