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Finding the Fourth Proportional to 3,785.23, 5,687.07 and 3,575.41

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Solution

The fourth proportional to 3,785.23, 5,687.07 and 3,575.41 is: 5,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.23 : 5,687.07 = 3,575.41 : x
  2. Step 2: Convert to fraction form
    3,785.23/5,687.07 = 3,575.41/x
  3. Step 3: Cross multiply
    3,785.23x = 5,687.07 × 3,575.41
  4. Step 4: Simplify right side
    3,785.23x = 20,333,606.95
  5. Step 5: Solve for x
    x = 20,333,606.95/3,785.23
  6. Step 6: Final answer
    x = 5,371.83

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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.