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Finding the Fourth Proportional to 4,201.54, 5,796.76 and 2,706.82

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Solution

The fourth proportional to 4,201.54, 5,796.76 and 2,706.82 is: 3,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.54 : 5,796.76 = 2,706.82 : x
  2. Step 2: Convert to fraction form
    4,201.54/5,796.76 = 2,706.82/x
  3. Step 3: Cross multiply
    4,201.54x = 5,796.76 × 2,706.82
  4. Step 4: Simplify right side
    4,201.54x = 15,690,785.90
  5. Step 5: Solve for x
    x = 15,690,785.90/4,201.54
  6. Step 6: Final answer
    x = 3,734.53

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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.