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Finding the Fourth Proportional to 3,804.27, 5,708.03 and 1,340.79

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Solution

The fourth proportional to 3,804.27, 5,708.03 and 1,340.79 is: 2,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.27 : 5,708.03 = 1,340.79 : x
  2. Step 2: Convert to fraction form
    3,804.27/5,708.03 = 1,340.79/x
  3. Step 3: Cross multiply
    3,804.27x = 5,708.03 × 1,340.79
  4. Step 4: Simplify right side
    3,804.27x = 7,653,269.54
  5. Step 5: Solve for x
    x = 7,653,269.54/3,804.27
  6. Step 6: Final answer
    x = 2,011.76

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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.