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Finding the Fourth Proportional to 5,783.40, 8,662.95 and 3,183.30

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Solution

The fourth proportional to 5,783.40, 8,662.95 and 3,183.30 is: 4,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.40 : 8,662.95 = 3,183.30 : x
  2. Step 2: Convert to fraction form
    5,783.40/8,662.95 = 3,183.30/x
  3. Step 3: Cross multiply
    5,783.40x = 8,662.95 × 3,183.30
  4. Step 4: Simplify right side
    5,783.40x = 27,576,768.74
  5. Step 5: Solve for x
    x = 27,576,768.74/5,783.40
  6. Step 6: Final answer
    x = 4,768.26

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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.