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Finding the Fourth Proportional to 3,429.62, 4,732.07 and 2,168.45

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Solution

The fourth proportional to 3,429.62, 4,732.07 and 2,168.45 is: 2,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.62 : 4,732.07 = 2,168.45 : x
  2. Step 2: Convert to fraction form
    3,429.62/4,732.07 = 2,168.45/x
  3. Step 3: Cross multiply
    3,429.62x = 4,732.07 × 2,168.45
  4. Step 4: Simplify right side
    3,429.62x = 10,261,258.18
  5. Step 5: Solve for x
    x = 10,261,258.18/3,429.62
  6. Step 6: Final answer
    x = 2,991.95

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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.