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Finding the Fourth Proportional to 3,609.36, 4,981.13 and 2,016

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Solution

The fourth proportional to 3,609.36, 4,981.13 and 2,016 is: 2,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.36 : 4,981.13 = 2,016 : x
  2. Step 2: Convert to fraction form
    3,609.36/4,981.13 = 2,016/x
  3. Step 3: Cross multiply
    3,609.36x = 4,981.13 × 2,016
  4. Step 4: Simplify right side
    3,609.36x = 10,041,958.08
  5. Step 5: Solve for x
    x = 10,041,958.08/3,609.36
  6. Step 6: Final answer
    x = 2,782.20

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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.