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Finding the Fourth Proportional to 5,832.82, 8,745.13 and 2,709.51

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Solution

The fourth proportional to 5,832.82, 8,745.13 and 2,709.51 is: 4,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.82 : 8,745.13 = 2,709.51 : x
  2. Step 2: Convert to fraction form
    5,832.82/8,745.13 = 2,709.51/x
  3. Step 3: Cross multiply
    5,832.82x = 8,745.13 × 2,709.51
  4. Step 4: Simplify right side
    5,832.82x = 23,695,003.64
  5. Step 5: Solve for x
    x = 23,695,003.64/5,832.82
  6. Step 6: Final answer
    x = 4,062.36

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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.