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Finding the Fourth Proportional to 3,785.67, 5,647.46 and 3,520.53

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Solution

The fourth proportional to 3,785.67, 5,647.46 and 3,520.53 is: 5,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.67 : 5,647.46 = 3,520.53 : x
  2. Step 2: Convert to fraction form
    3,785.67/5,647.46 = 3,520.53/x
  3. Step 3: Cross multiply
    3,785.67x = 5,647.46 × 3,520.53
  4. Step 4: Simplify right side
    3,785.67x = 19,882,034.75
  5. Step 5: Solve for x
    x = 19,882,034.75/3,785.67
  6. Step 6: Final answer
    x = 5,251.92

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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.