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Finding the Fourth Proportional to 3,546.83, 5,320.05 and 1,081.44

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Solution

The fourth proportional to 3,546.83, 5,320.05 and 1,081.44 is: 1,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.83 : 5,320.05 = 1,081.44 : x
  2. Step 2: Convert to fraction form
    3,546.83/5,320.05 = 1,081.44/x
  3. Step 3: Cross multiply
    3,546.83x = 5,320.05 × 1,081.44
  4. Step 4: Simplify right side
    3,546.83x = 5,753,310.82
  5. Step 5: Solve for x
    x = 5,753,310.82/3,546.83
  6. Step 6: Final answer
    x = 1,622.10

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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.