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Finding the Fourth Proportional to 3,186.94, 4,777.53 and 1,134.46

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Solution

The fourth proportional to 3,186.94, 4,777.53 and 1,134.46 is: 1,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.94 : 4,777.53 = 1,134.46 : x
  2. Step 2: Convert to fraction form
    3,186.94/4,777.53 = 1,134.46/x
  3. Step 3: Cross multiply
    3,186.94x = 4,777.53 × 1,134.46
  4. Step 4: Simplify right side
    3,186.94x = 5,419,916.68
  5. Step 5: Solve for x
    x = 5,419,916.68/3,186.94
  6. Step 6: Final answer
    x = 1,700.66

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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.