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Finding the Fourth Proportional to 3,652.45, 5,475.21 and 1,185.54

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Solution

The fourth proportional to 3,652.45, 5,475.21 and 1,185.54 is: 1,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.45 : 5,475.21 = 1,185.54 : x
  2. Step 2: Convert to fraction form
    3,652.45/5,475.21 = 1,185.54/x
  3. Step 3: Cross multiply
    3,652.45x = 5,475.21 × 1,185.54
  4. Step 4: Simplify right side
    3,652.45x = 6,491,096.55
  5. Step 5: Solve for x
    x = 6,491,096.55/3,652.45
  6. Step 6: Final answer
    x = 1,777.19

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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.