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Finding the Fourth Proportional to 3,634.74, 5,013.06 and 2,517.54

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Solution

The fourth proportional to 3,634.74, 5,013.06 and 2,517.54 is: 3,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.74 : 5,013.06 = 2,517.54 : x
  2. Step 2: Convert to fraction form
    3,634.74/5,013.06 = 2,517.54/x
  3. Step 3: Cross multiply
    3,634.74x = 5,013.06 × 2,517.54
  4. Step 4: Simplify right side
    3,634.74x = 12,620,579.07
  5. Step 5: Solve for x
    x = 12,620,579.07/3,634.74
  6. Step 6: Final answer
    x = 3,472.21

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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.