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Finding the Fourth Proportional to 3,546.48, 5,318.96 and 949.44

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Solution

The fourth proportional to 3,546.48, 5,318.96 and 949.44 is: 1,423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.48 : 5,318.96 = 949.44 : x
  2. Step 2: Convert to fraction form
    3,546.48/5,318.96 = 949.44/x
  3. Step 3: Cross multiply
    3,546.48x = 5,318.96 × 949.44
  4. Step 4: Simplify right side
    3,546.48x = 5,050,033.38
  5. Step 5: Solve for x
    x = 5,050,033.38/3,546.48
  6. Step 6: Final answer
    x = 1,423.96

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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.