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Finding the Fourth Proportional to 5,772.87, 7,963.31 and 3,647.73

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Solution

The fourth proportional to 5,772.87, 7,963.31 and 3,647.73 is: 5,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.87 : 7,963.31 = 3,647.73 : x
  2. Step 2: Convert to fraction form
    5,772.87/7,963.31 = 3,647.73/x
  3. Step 3: Cross multiply
    5,772.87x = 7,963.31 × 3,647.73
  4. Step 4: Simplify right side
    5,772.87x = 29,048,043.77
  5. Step 5: Solve for x
    x = 29,048,043.77/5,772.87
  6. Step 6: Final answer
    x = 5,031.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.