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Finding the Fourth Proportional to 3,652.76, 5,481.57 and 1,344.26

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Solution

The fourth proportional to 3,652.76, 5,481.57 and 1,344.26 is: 2,017.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.76 : 5,481.57 = 1,344.26 : x
  2. Step 2: Convert to fraction form
    3,652.76/5,481.57 = 1,344.26/x
  3. Step 3: Cross multiply
    3,652.76x = 5,481.57 × 1,344.26
  4. Step 4: Simplify right side
    3,652.76x = 7,368,627.88
  5. Step 5: Solve for x
    x = 7,368,627.88/3,652.76
  6. Step 6: Final answer
    x = 2,017.28

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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.