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Finding the Fourth Proportional to 5,729.73, 7,907.04 and 3,491.61

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Solution

The fourth proportional to 5,729.73, 7,907.04 and 3,491.61 is: 4,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.73 : 7,907.04 = 3,491.61 : x
  2. Step 2: Convert to fraction form
    5,729.73/7,907.04 = 3,491.61/x
  3. Step 3: Cross multiply
    5,729.73x = 7,907.04 × 3,491.61
  4. Step 4: Simplify right side
    5,729.73x = 27,608,299.93
  5. Step 5: Solve for x
    x = 27,608,299.93/5,729.73
  6. Step 6: Final answer
    x = 4,818.43

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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.