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Finding the Fourth Proportional to 4,165.72, 5,747.04 and 2,396.37

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Solution

The fourth proportional to 4,165.72, 5,747.04 and 2,396.37 is: 3,306.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.72 : 5,747.04 = 2,396.37 : x
  2. Step 2: Convert to fraction form
    4,165.72/5,747.04 = 2,396.37/x
  3. Step 3: Cross multiply
    4,165.72x = 5,747.04 × 2,396.37
  4. Step 4: Simplify right side
    4,165.72x = 13,772,034.24
  5. Step 5: Solve for x
    x = 13,772,034.24/4,165.72
  6. Step 6: Final answer
    x = 3,306.04

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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.