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Finding the Fourth Proportional to 4,164.75, 5,747.72 and 2,302.11

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Solution

The fourth proportional to 4,164.75, 5,747.72 and 2,302.11 is: 3,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.75 : 5,747.72 = 2,302.11 : x
  2. Step 2: Convert to fraction form
    4,164.75/5,747.72 = 2,302.11/x
  3. Step 3: Cross multiply
    4,164.75x = 5,747.72 × 2,302.11
  4. Step 4: Simplify right side
    4,164.75x = 13,231,872.18
  5. Step 5: Solve for x
    x = 13,231,872.18/4,164.75
  6. Step 6: Final answer
    x = 3,177.11

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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.