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Finding the Fourth Proportional to 3,613.21, 5,419.82 and 1,016.17

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Solution

The fourth proportional to 3,613.21, 5,419.82 and 1,016.17 is: 1,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.21 : 5,419.82 = 1,016.17 : x
  2. Step 2: Convert to fraction form
    3,613.21/5,419.82 = 1,016.17/x
  3. Step 3: Cross multiply
    3,613.21x = 5,419.82 × 1,016.17
  4. Step 4: Simplify right side
    3,613.21x = 5,507,458.49
  5. Step 5: Solve for x
    x = 5,507,458.49/3,613.21
  6. Step 6: Final answer
    x = 1,524.26

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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.