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Finding the Fourth Proportional to 3,471.45, 5,207.27 and 1,523.19

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Solution

The fourth proportional to 3,471.45, 5,207.27 and 1,523.19 is: 2,284.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.45 : 5,207.27 = 1,523.19 : x
  2. Step 2: Convert to fraction form
    3,471.45/5,207.27 = 1,523.19/x
  3. Step 3: Cross multiply
    3,471.45x = 5,207.27 × 1,523.19
  4. Step 4: Simplify right side
    3,471.45x = 7,931,661.59
  5. Step 5: Solve for x
    x = 7,931,661.59/3,471.45
  6. Step 6: Final answer
    x = 2,284.83

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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.