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Finding the Fourth Proportional to 3,186.82, 4,777.34 and 1,134.34

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Solution

The fourth proportional to 3,186.82, 4,777.34 and 1,134.34 is: 1,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.82 : 4,777.34 = 1,134.34 : x
  2. Step 2: Convert to fraction form
    3,186.82/4,777.34 = 1,134.34/x
  3. Step 3: Cross multiply
    3,186.82x = 4,777.34 × 1,134.34
  4. Step 4: Simplify right side
    3,186.82x = 5,419,127.86
  5. Step 5: Solve for x
    x = 5,419,127.86/3,186.82
  6. Step 6: Final answer
    x = 1,700.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.