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Finding the Fourth Proportional to 3,756.96, 5,185.44 and 2,361.60

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Solution

The fourth proportional to 3,756.96, 5,185.44 and 2,361.60 is: 3,259.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.96 : 5,185.44 = 2,361.60 : x
  2. Step 2: Convert to fraction form
    3,756.96/5,185.44 = 2,361.60/x
  3. Step 3: Cross multiply
    3,756.96x = 5,185.44 × 2,361.60
  4. Step 4: Simplify right side
    3,756.96x = 12,245,935.10
  5. Step 5: Solve for x
    x = 12,245,935.10/3,756.96
  6. Step 6: Final answer
    x = 3,259.53

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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.