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Finding the Fourth Proportional to 3,183.87, 4,776.72 and 1,429.39

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Solution

The fourth proportional to 3,183.87, 4,776.72 and 1,429.39 is: 2,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.87 : 4,776.72 = 1,429.39 : x
  2. Step 2: Convert to fraction form
    3,183.87/4,776.72 = 1,429.39/x
  3. Step 3: Cross multiply
    3,183.87x = 4,776.72 × 1,429.39
  4. Step 4: Simplify right side
    3,183.87x = 6,827,795.80
  5. Step 5: Solve for x
    x = 6,827,795.80/3,183.87
  6. Step 6: Final answer
    x = 2,144.50

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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.