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Finding the Fourth Proportional to 5,704.29, 8,557.79 and 1,755.41

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Solution

The fourth proportional to 5,704.29, 8,557.79 and 1,755.41 is: 2,633.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.29 : 8,557.79 = 1,755.41 : x
  2. Step 2: Convert to fraction form
    5,704.29/8,557.79 = 1,755.41/x
  3. Step 3: Cross multiply
    5,704.29x = 8,557.79 × 1,755.41
  4. Step 4: Simplify right side
    5,704.29x = 15,022,378.58
  5. Step 5: Solve for x
    x = 15,022,378.58/5,704.29
  6. Step 6: Final answer
    x = 2,633.52

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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.