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Finding the Fourth Proportional to 5,326.81, 7,990.22 and 1,431.22

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Solution

The fourth proportional to 5,326.81, 7,990.22 and 1,431.22 is: 2,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.81 : 7,990.22 = 1,431.22 : x
  2. Step 2: Convert to fraction form
    5,326.81/7,990.22 = 1,431.22/x
  3. Step 3: Cross multiply
    5,326.81x = 7,990.22 × 1,431.22
  4. Step 4: Simplify right side
    5,326.81x = 11,435,753.20
  5. Step 5: Solve for x
    x = 11,435,753.20/5,326.81
  6. Step 6: Final answer
    x = 2,146.83

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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.