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Finding the Fourth Proportional to 3,546.65, 5,319.98 and 1,081.41

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Solution

The fourth proportional to 3,546.65, 5,319.98 and 1,081.41 is: 1,622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.65 : 5,319.98 = 1,081.41 : x
  2. Step 2: Convert to fraction form
    3,546.65/5,319.98 = 1,081.41/x
  3. Step 3: Cross multiply
    3,546.65x = 5,319.98 × 1,081.41
  4. Step 4: Simplify right side
    3,546.65x = 5,753,074.16
  5. Step 5: Solve for x
    x = 5,753,074.16/3,546.65
  6. Step 6: Final answer
    x = 1,622.12

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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.