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Finding the Fourth Proportional to 5,660.96, 8,491.20 and 1,765.44

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Solution

The fourth proportional to 5,660.96, 8,491.20 and 1,765.44 is: 2,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.96 : 8,491.20 = 1,765.44 : x
  2. Step 2: Convert to fraction form
    5,660.96/8,491.20 = 1,765.44/x
  3. Step 3: Cross multiply
    5,660.96x = 8,491.20 × 1,765.44
  4. Step 4: Simplify right side
    5,660.96x = 14,990,704.13
  5. Step 5: Solve for x
    x = 14,990,704.13/5,660.96
  6. Step 6: Final answer
    x = 2,648.09

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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.