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Finding the Fourth Proportional to 5,174.69, 7,763.25 and 1,711.94

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Solution

The fourth proportional to 5,174.69, 7,763.25 and 1,711.94 is: 2,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.69 : 7,763.25 = 1,711.94 : x
  2. Step 2: Convert to fraction form
    5,174.69/7,763.25 = 1,711.94/x
  3. Step 3: Cross multiply
    5,174.69x = 7,763.25 × 1,711.94
  4. Step 4: Simplify right side
    5,174.69x = 13,290,218.21
  5. Step 5: Solve for x
    x = 13,290,218.21/5,174.69
  6. Step 6: Final answer
    x = 2,568.31

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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.