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Finding the Fourth Proportional to 3,817.44, 5,726.60 and 1,352.47

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Solution

The fourth proportional to 3,817.44, 5,726.60 and 1,352.47 is: 2,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.44 : 5,726.60 = 1,352.47 : x
  2. Step 2: Convert to fraction form
    3,817.44/5,726.60 = 1,352.47/x
  3. Step 3: Cross multiply
    3,817.44x = 5,726.60 × 1,352.47
  4. Step 4: Simplify right side
    3,817.44x = 7,745,054.70
  5. Step 5: Solve for x
    x = 7,745,054.70/3,817.44
  6. Step 6: Final answer
    x = 2,028.86

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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.