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Finding the Fourth Proportional to 4,134.97, 6,202.84 and 1,361.66

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Solution

The fourth proportional to 4,134.97, 6,202.84 and 1,361.66 is: 2,042.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.97 : 6,202.84 = 1,361.66 : x
  2. Step 2: Convert to fraction form
    4,134.97/6,202.84 = 1,361.66/x
  3. Step 3: Cross multiply
    4,134.97x = 6,202.84 × 1,361.66
  4. Step 4: Simplify right side
    4,134.97x = 8,446,159.11
  5. Step 5: Solve for x
    x = 8,446,159.11/4,134.97
  6. Step 6: Final answer
    x = 2,042.62

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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.