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Finding the Fourth Proportional to 5,778.64, 8,664.31 and 3,183.40

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Solution

The fourth proportional to 5,778.64, 8,664.31 and 3,183.40 is: 4,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.64 : 8,664.31 = 3,183.40 : x
  2. Step 2: Convert to fraction form
    5,778.64/8,664.31 = 3,183.40/x
  3. Step 3: Cross multiply
    5,778.64x = 8,664.31 × 3,183.40
  4. Step 4: Simplify right side
    5,778.64x = 27,581,905.22
  5. Step 5: Solve for x
    x = 27,581,905.22/5,778.64
  6. Step 6: Final answer
    x = 4,773.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.