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Finding the Fourth Proportional to 3,446.28, 5,168.64 and 1,689.54

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Solution

The fourth proportional to 3,446.28, 5,168.64 and 1,689.54 is: 2,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.28 : 5,168.64 = 1,689.54 : x
  2. Step 2: Convert to fraction form
    3,446.28/5,168.64 = 1,689.54/x
  3. Step 3: Cross multiply
    3,446.28x = 5,168.64 × 1,689.54
  4. Step 4: Simplify right side
    3,446.28x = 8,732,624.03
  5. Step 5: Solve for x
    x = 8,732,624.03/3,446.28
  6. Step 6: Final answer
    x = 2,533.93

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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.