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Finding the Fourth Proportional to 5,244.96, 7,865.61 and 1,546.21

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Solution

The fourth proportional to 5,244.96, 7,865.61 and 1,546.21 is: 2,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.96 : 7,865.61 = 1,546.21 : x
  2. Step 2: Convert to fraction form
    5,244.96/7,865.61 = 1,546.21/x
  3. Step 3: Cross multiply
    5,244.96x = 7,865.61 × 1,546.21
  4. Step 4: Simplify right side
    5,244.96x = 12,161,884.84
  5. Step 5: Solve for x
    x = 12,161,884.84/5,244.96
  6. Step 6: Final answer
    x = 2,318.78

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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.