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Finding the Fourth Proportional to 3,446.80, 5,164.68 and 3,355.68

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Solution

The fourth proportional to 3,446.80, 5,164.68 and 3,355.68 is: 5,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.80 : 5,164.68 = 3,355.68 : x
  2. Step 2: Convert to fraction form
    3,446.80/5,164.68 = 3,355.68/x
  3. Step 3: Cross multiply
    3,446.80x = 5,164.68 × 3,355.68
  4. Step 4: Simplify right side
    3,446.80x = 17,331,013.38
  5. Step 5: Solve for x
    x = 17,331,013.38/3,446.80
  6. Step 6: Final answer
    x = 5,028.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.