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Finding the Fourth Proportional to 3,546.66, 5,319.88 and 1,081.38

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Solution

The fourth proportional to 3,546.66, 5,319.88 and 1,081.38 is: 1,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.66 : 5,319.88 = 1,081.38 : x
  2. Step 2: Convert to fraction form
    3,546.66/5,319.88 = 1,081.38/x
  3. Step 3: Cross multiply
    3,546.66x = 5,319.88 × 1,081.38
  4. Step 4: Simplify right side
    3,546.66x = 5,752,811.83
  5. Step 5: Solve for x
    x = 5,752,811.83/3,546.66
  6. Step 6: Final answer
    x = 1,622.04

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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.