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Finding the Fourth Proportional to 3,808.99, 5,707.55 and 1,832.48

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Solution

The fourth proportional to 3,808.99, 5,707.55 and 1,832.48 is: 2,745.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.99 : 5,707.55 = 1,832.48 : x
  2. Step 2: Convert to fraction form
    3,808.99/5,707.55 = 1,832.48/x
  3. Step 3: Cross multiply
    3,808.99x = 5,707.55 × 1,832.48
  4. Step 4: Simplify right side
    3,808.99x = 10,458,962.06
  5. Step 5: Solve for x
    x = 10,458,962.06/3,808.99
  6. Step 6: Final answer
    x = 2,745.87

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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.