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Finding the Fourth Proportional to 3,760.81, 5,644.46 and 1,814.65

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Solution

The fourth proportional to 3,760.81, 5,644.46 and 1,814.65 is: 2,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.81 : 5,644.46 = 1,814.65 : x
  2. Step 2: Convert to fraction form
    3,760.81/5,644.46 = 1,814.65/x
  3. Step 3: Cross multiply
    3,760.81x = 5,644.46 × 1,814.65
  4. Step 4: Simplify right side
    3,760.81x = 10,242,710.27
  5. Step 5: Solve for x
    x = 10,242,710.27/3,760.81
  6. Step 6: Final answer
    x = 2,723.54

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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.