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Finding the Fourth Proportional to 4,102.12, 5,665.62 and 3,747.16

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Solution

The fourth proportional to 4,102.12, 5,665.62 and 3,747.16 is: 5,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.12 : 5,665.62 = 3,747.16 : x
  2. Step 2: Convert to fraction form
    4,102.12/5,665.62 = 3,747.16/x
  3. Step 3: Cross multiply
    4,102.12x = 5,665.62 × 3,747.16
  4. Step 4: Simplify right side
    4,102.12x = 21,229,984.64
  5. Step 5: Solve for x
    x = 21,229,984.64/4,102.12
  6. Step 6: Final answer
    x = 5,175.37

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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.