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Finding the Fourth Proportional to 3,789.52, 5,685 and 1,841.56

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Solution

The fourth proportional to 3,789.52, 5,685 and 1,841.56 is: 2,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.52 : 5,685 = 1,841.56 : x
  2. Step 2: Convert to fraction form
    3,789.52/5,685 = 1,841.56/x
  3. Step 3: Cross multiply
    3,789.52x = 5,685 × 1,841.56
  4. Step 4: Simplify right side
    3,789.52x = 10,469,268.60
  5. Step 5: Solve for x
    x = 10,469,268.60/3,789.52
  6. Step 6: Final answer
    x = 2,762.69

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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.