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Finding the Fourth Proportional to 5,923.26, 8,884.26 and 1,763.28

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Solution

The fourth proportional to 5,923.26, 8,884.26 and 1,763.28 is: 2,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,923.26 : 8,884.26 = 1,763.28 : x
  2. Step 2: Convert to fraction form
    5,923.26/8,884.26 = 1,763.28/x
  3. Step 3: Cross multiply
    5,923.26x = 8,884.26 × 1,763.28
  4. Step 4: Simplify right side
    5,923.26x = 15,665,437.97
  5. Step 5: Solve for x
    x = 15,665,437.97/5,923.26
  6. Step 6: Final answer
    x = 2,644.73

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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.