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Finding the Fourth Proportional to 4,146.80, 5,687.42 and 3,935.68

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Solution

The fourth proportional to 4,146.80, 5,687.42 and 3,935.68 is: 5,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.80 : 5,687.42 = 3,935.68 : x
  2. Step 2: Convert to fraction form
    4,146.80/5,687.42 = 3,935.68/x
  3. Step 3: Cross multiply
    4,146.80x = 5,687.42 × 3,935.68
  4. Step 4: Simplify right side
    4,146.80x = 22,383,865.15
  5. Step 5: Solve for x
    x = 22,383,865.15/4,146.80
  6. Step 6: Final answer
    x = 5,397.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.