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Finding the Fourth Proportional to 5,704.08, 7,871.94 and 3,186.24

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Solution

The fourth proportional to 5,704.08, 7,871.94 and 3,186.24 is: 4,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.08 : 7,871.94 = 3,186.24 : x
  2. Step 2: Convert to fraction form
    5,704.08/7,871.94 = 3,186.24/x
  3. Step 3: Cross multiply
    5,704.08x = 7,871.94 × 3,186.24
  4. Step 4: Simplify right side
    5,704.08x = 25,081,890.11
  5. Step 5: Solve for x
    x = 25,081,890.11/5,704.08
  6. Step 6: Final answer
    x = 4,397.18

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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.