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Finding the Fourth Proportional to 3,786.23, 5,677.11 and 1,593.77

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Solution

The fourth proportional to 3,786.23, 5,677.11 and 1,593.77 is: 2,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.23 : 5,677.11 = 1,593.77 : x
  2. Step 2: Convert to fraction form
    3,786.23/5,677.11 = 1,593.77/x
  3. Step 3: Cross multiply
    3,786.23x = 5,677.11 × 1,593.77
  4. Step 4: Simplify right side
    3,786.23x = 9,047,979.22
  5. Step 5: Solve for x
    x = 9,047,979.22/3,786.23
  6. Step 6: Final answer
    x = 2,389.71

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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.