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Finding the Fourth Proportional to 3,183.13, 4,783.80 and 3,164.90

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Solution

The fourth proportional to 3,183.13, 4,783.80 and 3,164.90 is: 4,756.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.13 : 4,783.80 = 3,164.90 : x
  2. Step 2: Convert to fraction form
    3,183.13/4,783.80 = 3,164.90/x
  3. Step 3: Cross multiply
    3,183.13x = 4,783.80 × 3,164.90
  4. Step 4: Simplify right side
    3,183.13x = 15,140,248.62
  5. Step 5: Solve for x
    x = 15,140,248.62/3,183.13
  6. Step 6: Final answer
    x = 4,756.40

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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.