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Finding the Fourth Proportional to 4,192.75, 5,786.13 and 2,329.75

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Solution

The fourth proportional to 4,192.75, 5,786.13 and 2,329.75 is: 3,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.75 : 5,786.13 = 2,329.75 : x
  2. Step 2: Convert to fraction form
    4,192.75/5,786.13 = 2,329.75/x
  3. Step 3: Cross multiply
    4,192.75x = 5,786.13 × 2,329.75
  4. Step 4: Simplify right side
    4,192.75x = 13,480,236.37
  5. Step 5: Solve for x
    x = 13,480,236.37/4,192.75
  6. Step 6: Final answer
    x = 3,215.13

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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.