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Finding the Fourth Proportional to 3,141.73, 4,324.70 and 2,716.16

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Solution

The fourth proportional to 3,141.73, 4,324.70 and 2,716.16 is: 3,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.73 : 4,324.70 = 2,716.16 : x
  2. Step 2: Convert to fraction form
    3,141.73/4,324.70 = 2,716.16/x
  3. Step 3: Cross multiply
    3,141.73x = 4,324.70 × 2,716.16
  4. Step 4: Simplify right side
    3,141.73x = 11,746,577.15
  5. Step 5: Solve for x
    x = 11,746,577.15/3,141.73
  6. Step 6: Final answer
    x = 3,738.89

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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.