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Finding the Fourth Proportional to 3,496.98, 5,245.54 and 1,305.27

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Solution

The fourth proportional to 3,496.98, 5,245.54 and 1,305.27 is: 1,957.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.98 : 5,245.54 = 1,305.27 : x
  2. Step 2: Convert to fraction form
    3,496.98/5,245.54 = 1,305.27/x
  3. Step 3: Cross multiply
    3,496.98x = 5,245.54 × 1,305.27
  4. Step 4: Simplify right side
    3,496.98x = 6,846,813.24
  5. Step 5: Solve for x
    x = 6,846,813.24/3,496.98
  6. Step 6: Final answer
    x = 1,957.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.