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Finding the Fourth Proportional to 3,772.44, 5,651.46 and 3,160.08

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Solution

The fourth proportional to 3,772.44, 5,651.46 and 3,160.08 is: 4,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.44 : 5,651.46 = 3,160.08 : x
  2. Step 2: Convert to fraction form
    3,772.44/5,651.46 = 3,160.08/x
  3. Step 3: Cross multiply
    3,772.44x = 5,651.46 × 3,160.08
  4. Step 4: Simplify right side
    3,772.44x = 17,859,065.72
  5. Step 5: Solve for x
    x = 17,859,065.72/3,772.44
  6. Step 6: Final answer
    x = 4,734.09

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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.