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Finding the Fourth Proportional to 3,546.39, 5,320.74 and 1,081.68

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Solution

The fourth proportional to 3,546.39, 5,320.74 and 1,081.68 is: 1,622.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.39 : 5,320.74 = 1,081.68 : x
  2. Step 2: Convert to fraction form
    3,546.39/5,320.74 = 1,081.68/x
  3. Step 3: Cross multiply
    3,546.39x = 5,320.74 × 1,081.68
  4. Step 4: Simplify right side
    3,546.39x = 5,755,338.04
  5. Step 5: Solve for x
    x = 5,755,338.04/3,546.39
  6. Step 6: Final answer
    x = 1,622.87

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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.