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Finding the Fourth Proportional to 3,835.64, 5,718.94 and 3,739.97

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Solution

The fourth proportional to 3,835.64, 5,718.94 and 3,739.97 is: 5,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.64 : 5,718.94 = 3,739.97 : x
  2. Step 2: Convert to fraction form
    3,835.64/5,718.94 = 3,739.97/x
  3. Step 3: Cross multiply
    3,835.64x = 5,718.94 × 3,739.97
  4. Step 4: Simplify right side
    3,835.64x = 21,388,668.98
  5. Step 5: Solve for x
    x = 21,388,668.98/3,835.64
  6. Step 6: Final answer
    x = 5,576.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.