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Finding the Fourth Proportional to 3,517.84, 5,249.27 and 3,207.34

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Solution

The fourth proportional to 3,517.84, 5,249.27 and 3,207.34 is: 4,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517.84 : 5,249.27 = 3,207.34 : x
  2. Step 2: Convert to fraction form
    3,517.84/5,249.27 = 3,207.34/x
  3. Step 3: Cross multiply
    3,517.84x = 5,249.27 × 3,207.34
  4. Step 4: Simplify right side
    3,517.84x = 16,836,193.64
  5. Step 5: Solve for x
    x = 16,836,193.64/3,517.84
  6. Step 6: Final answer
    x = 4,785.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.