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Finding the Fourth Proportional to 3,481.64, 5,222.98 and 1,016.14

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Solution

The fourth proportional to 3,481.64, 5,222.98 and 1,016.14 is: 1,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.64 : 5,222.98 = 1,016.14 : x
  2. Step 2: Convert to fraction form
    3,481.64/5,222.98 = 1,016.14/x
  3. Step 3: Cross multiply
    3,481.64x = 5,222.98 × 1,016.14
  4. Step 4: Simplify right side
    3,481.64x = 5,307,278.90
  5. Step 5: Solve for x
    x = 5,307,278.90/3,481.64
  6. Step 6: Final answer
    x = 1,524.36

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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.