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Finding the Fourth Proportional to 3,546.44, 4,891.60 and 3,073.50

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Solution

The fourth proportional to 3,546.44, 4,891.60 and 3,073.50 is: 4,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.44 : 4,891.60 = 3,073.50 : x
  2. Step 2: Convert to fraction form
    3,546.44/4,891.60 = 3,073.50/x
  3. Step 3: Cross multiply
    3,546.44x = 4,891.60 × 3,073.50
  4. Step 4: Simplify right side
    3,546.44x = 15,034,354.79
  5. Step 5: Solve for x
    x = 15,034,354.79/3,546.44
  6. Step 6: Final answer
    x = 4,239.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.