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Finding the Fourth Proportional to 4,164.72, 5,747.33 and 2,276.30

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Solution

The fourth proportional to 4,164.72, 5,747.33 and 2,276.30 is: 3,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.72 : 5,747.33 = 2,276.30 : x
  2. Step 2: Convert to fraction form
    4,164.72/5,747.33 = 2,276.30/x
  3. Step 3: Cross multiply
    4,164.72x = 5,747.33 × 2,276.30
  4. Step 4: Simplify right side
    4,164.72x = 13,082,667.34
  5. Step 5: Solve for x
    x = 13,082,667.34/4,164.72
  6. Step 6: Final answer
    x = 3,141.31

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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.