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Finding the Fourth Proportional to 3,546.41, 5,319 and 1,080.63

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Solution

The fourth proportional to 3,546.41, 5,319 and 1,080.63 is: 1,620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.41 : 5,319 = 1,080.63 : x
  2. Step 2: Convert to fraction form
    3,546.41/5,319 = 1,080.63/x
  3. Step 3: Cross multiply
    3,546.41x = 5,319 × 1,080.63
  4. Step 4: Simplify right side
    3,546.41x = 5,747,870.97
  5. Step 5: Solve for x
    x = 5,747,870.97/3,546.41
  6. Step 6: Final answer
    x = 1,620.76

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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.