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Finding the Fourth Proportional to 5,229.40, 7,845 and 1,944.96

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Solution

The fourth proportional to 5,229.40, 7,845 and 1,944.96 is: 2,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.40 : 7,845 = 1,944.96 : x
  2. Step 2: Convert to fraction form
    5,229.40/7,845 = 1,944.96/x
  3. Step 3: Cross multiply
    5,229.40x = 7,845 × 1,944.96
  4. Step 4: Simplify right side
    5,229.40x = 15,258,211.20
  5. Step 5: Solve for x
    x = 15,258,211.20/5,229.40
  6. Step 6: Final answer
    x = 2,917.77

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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.