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Finding the Fourth Proportional to 5,589.76, 8,383.24 and 1,694.11

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Solution

The fourth proportional to 5,589.76, 8,383.24 and 1,694.11 is: 2,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.76 : 8,383.24 = 1,694.11 : x
  2. Step 2: Convert to fraction form
    5,589.76/8,383.24 = 1,694.11/x
  3. Step 3: Cross multiply
    5,589.76x = 8,383.24 × 1,694.11
  4. Step 4: Simplify right side
    5,589.76x = 14,202,130.72
  5. Step 5: Solve for x
    x = 14,202,130.72/5,589.76
  6. Step 6: Final answer
    x = 2,540.74

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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.