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Finding the Fourth Proportional to 5,353.05, 8,020.78 and 5,147.98

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Solution

The fourth proportional to 5,353.05, 8,020.78 and 5,147.98 is: 7,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.05 : 8,020.78 = 5,147.98 : x
  2. Step 2: Convert to fraction form
    5,353.05/8,020.78 = 5,147.98/x
  3. Step 3: Cross multiply
    5,353.05x = 8,020.78 × 5,147.98
  4. Step 4: Simplify right side
    5,353.05x = 41,290,815.02
  5. Step 5: Solve for x
    x = 41,290,815.02/5,353.05
  6. Step 6: Final answer
    x = 7,713.51

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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.