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Finding the Fourth Proportional to 3,682.91, 5,083.16 and 2,267.30

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Solution

The fourth proportional to 3,682.91, 5,083.16 and 2,267.30 is: 3,129.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.91 : 5,083.16 = 2,267.30 : x
  2. Step 2: Convert to fraction form
    3,682.91/5,083.16 = 2,267.30/x
  3. Step 3: Cross multiply
    3,682.91x = 5,083.16 × 2,267.30
  4. Step 4: Simplify right side
    3,682.91x = 11,525,011.92
  5. Step 5: Solve for x
    x = 11,525,011.92/3,682.91
  6. Step 6: Final answer
    x = 3,129.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.