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Finding the Fourth Proportional to 5,929.64, 8,183.90 and 4,014.59

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Solution

The fourth proportional to 5,929.64, 8,183.90 and 4,014.59 is: 5,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.64 : 8,183.90 = 4,014.59 : x
  2. Step 2: Convert to fraction form
    5,929.64/8,183.90 = 4,014.59/x
  3. Step 3: Cross multiply
    5,929.64x = 8,183.90 × 4,014.59
  4. Step 4: Simplify right side
    5,929.64x = 32,855,033.60
  5. Step 5: Solve for x
    x = 32,855,033.60/5,929.64
  6. Step 6: Final answer
    x = 5,540.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.