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Finding the Fourth Proportional to 4,706.82, 6,493.89 and 3,361.29

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Solution

The fourth proportional to 4,706.82, 6,493.89 and 3,361.29 is: 4,637.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.82 : 6,493.89 = 3,361.29 : x
  2. Step 2: Convert to fraction form
    4,706.82/6,493.89 = 3,361.29/x
  3. Step 3: Cross multiply
    4,706.82x = 6,493.89 × 3,361.29
  4. Step 4: Simplify right side
    4,706.82x = 21,827,847.52
  5. Step 5: Solve for x
    x = 21,827,847.52/4,706.82
  6. Step 6: Final answer
    x = 4,637.49

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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.