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Finding the Fourth Proportional to 5,169.54, 7,755.12 and 2,047.98

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Solution

The fourth proportional to 5,169.54, 7,755.12 and 2,047.98 is: 3,072.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.54 : 7,755.12 = 2,047.98 : x
  2. Step 2: Convert to fraction form
    5,169.54/7,755.12 = 2,047.98/x
  3. Step 3: Cross multiply
    5,169.54x = 7,755.12 × 2,047.98
  4. Step 4: Simplify right side
    5,169.54x = 15,882,330.66
  5. Step 5: Solve for x
    x = 15,882,330.66/5,169.54
  6. Step 6: Final answer
    x = 3,072.29

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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.