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Finding the Fourth Proportional to 5,305.69, 7,322.66 and 3,211.03

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Solution

The fourth proportional to 5,305.69, 7,322.66 and 3,211.03 is: 4,431.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.69 : 7,322.66 = 3,211.03 : x
  2. Step 2: Convert to fraction form
    5,305.69/7,322.66 = 3,211.03/x
  3. Step 3: Cross multiply
    5,305.69x = 7,322.66 × 3,211.03
  4. Step 4: Simplify right side
    5,305.69x = 23,513,258.62
  5. Step 5: Solve for x
    x = 23,513,258.62/5,305.69
  6. Step 6: Final answer
    x = 4,431.71

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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.