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Finding the Fourth Proportional to 5,446.98, 8,160.75 and 3,251.48

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Solution

The fourth proportional to 5,446.98, 8,160.75 and 3,251.48 is: 4,871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.98 : 8,160.75 = 3,251.48 : x
  2. Step 2: Convert to fraction form
    5,446.98/8,160.75 = 3,251.48/x
  3. Step 3: Cross multiply
    5,446.98x = 8,160.75 × 3,251.48
  4. Step 4: Simplify right side
    5,446.98x = 26,534,474.61
  5. Step 5: Solve for x
    x = 26,534,474.61/5,446.98
  6. Step 6: Final answer
    x = 4,871.41

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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.