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Finding the Fourth Proportional to 3,736.27, 5,604.20 and 1,139

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Solution

The fourth proportional to 3,736.27, 5,604.20 and 1,139 is: 1,708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.27 : 5,604.20 = 1,139 : x
  2. Step 2: Convert to fraction form
    3,736.27/5,604.20 = 1,139/x
  3. Step 3: Cross multiply
    3,736.27x = 5,604.20 × 1,139
  4. Step 4: Simplify right side
    3,736.27x = 6,383,178.11
  5. Step 5: Solve for x
    x = 6,383,178.11/3,736.27
  6. Step 6: Final answer
    x = 1,708.44

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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.