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Finding the Fourth Proportional to 5,704.14, 7,871.62 and 3,186.29

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Solution

The fourth proportional to 5,704.14, 7,871.62 and 3,186.29 is: 4,397.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.14 : 7,871.62 = 3,186.29 : x
  2. Step 2: Convert to fraction form
    5,704.14/7,871.62 = 3,186.29/x
  3. Step 3: Cross multiply
    5,704.14x = 7,871.62 × 3,186.29
  4. Step 4: Simplify right side
    5,704.14x = 25,081,264.09
  5. Step 5: Solve for x
    x = 25,081,264.09/5,704.14
  6. Step 6: Final answer
    x = 4,397.03

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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.