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Finding the Fourth Proportional to 3,770.23, 5,655 and 1,429.23

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Solution

The fourth proportional to 3,770.23, 5,655 and 1,429.23 is: 2,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.23 : 5,655 = 1,429.23 : x
  2. Step 2: Convert to fraction form
    3,770.23/5,655 = 1,429.23/x
  3. Step 3: Cross multiply
    3,770.23x = 5,655 × 1,429.23
  4. Step 4: Simplify right side
    3,770.23x = 8,082,295.65
  5. Step 5: Solve for x
    x = 8,082,295.65/3,770.23
  6. Step 6: Final answer
    x = 2,143.71

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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.