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Finding the Fourth Proportional to 5,471.27, 8,206.22 and 1,522.83

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Solution

The fourth proportional to 5,471.27, 8,206.22 and 1,522.83 is: 2,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.27 : 8,206.22 = 1,522.83 : x
  2. Step 2: Convert to fraction form
    5,471.27/8,206.22 = 1,522.83/x
  3. Step 3: Cross multiply
    5,471.27x = 8,206.22 × 1,522.83
  4. Step 4: Simplify right side
    5,471.27x = 12,496,639.06
  5. Step 5: Solve for x
    x = 12,496,639.06/5,471.27
  6. Step 6: Final answer
    x = 2,284.05

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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.