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Finding the Fourth Proportional to 5,222.70, 7,826.72 and 2,883.78

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Solution

The fourth proportional to 5,222.70, 7,826.72 and 2,883.78 is: 4,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.70 : 7,826.72 = 2,883.78 : x
  2. Step 2: Convert to fraction form
    5,222.70/7,826.72 = 2,883.78/x
  3. Step 3: Cross multiply
    5,222.70x = 7,826.72 × 2,883.78
  4. Step 4: Simplify right side
    5,222.70x = 22,570,524.18
  5. Step 5: Solve for x
    x = 22,570,524.18/5,222.70
  6. Step 6: Final answer
    x = 4,321.62

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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.