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Finding the Fourth Proportional to 3,866.73, 5,340.51 and 2,546.34

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Solution

The fourth proportional to 3,866.73, 5,340.51 and 2,546.34 is: 3,516.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.73 : 5,340.51 = 2,546.34 : x
  2. Step 2: Convert to fraction form
    3,866.73/5,340.51 = 2,546.34/x
  3. Step 3: Cross multiply
    3,866.73x = 5,340.51 × 2,546.34
  4. Step 4: Simplify right side
    3,866.73x = 13,598,754.23
  5. Step 5: Solve for x
    x = 13,598,754.23/3,866.73
  6. Step 6: Final answer
    x = 3,516.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.