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Finding the Fourth Proportional to 3,790.46, 5,202.79 and 3,361.46

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Solution

The fourth proportional to 3,790.46, 5,202.79 and 3,361.46 is: 4,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.46 : 5,202.79 = 3,361.46 : x
  2. Step 2: Convert to fraction form
    3,790.46/5,202.79 = 3,361.46/x
  3. Step 3: Cross multiply
    3,790.46x = 5,202.79 × 3,361.46
  4. Step 4: Simplify right side
    3,790.46x = 17,488,970.47
  5. Step 5: Solve for x
    x = 17,488,970.47/3,790.46
  6. Step 6: Final answer
    x = 4,613.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.