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Finding the Fourth Proportional to 3,361.94, 4,660.74 and 3,184.21

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Solution

The fourth proportional to 3,361.94, 4,660.74 and 3,184.21 is: 4,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.94 : 4,660.74 = 3,184.21 : x
  2. Step 2: Convert to fraction form
    3,361.94/4,660.74 = 3,184.21/x
  3. Step 3: Cross multiply
    3,361.94x = 4,660.74 × 3,184.21
  4. Step 4: Simplify right side
    3,361.94x = 14,840,780.74
  5. Step 5: Solve for x
    x = 14,840,780.74/3,361.94
  6. Step 6: Final answer
    x = 4,414.35

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.