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Finding the Fourth Proportional to 5,122.96, 7,684.17 and 1,425.19

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Solution

The fourth proportional to 5,122.96, 7,684.17 and 1,425.19 is: 2,137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.96 : 7,684.17 = 1,425.19 : x
  2. Step 2: Convert to fraction form
    5,122.96/7,684.17 = 1,425.19/x
  3. Step 3: Cross multiply
    5,122.96x = 7,684.17 × 1,425.19
  4. Step 4: Simplify right side
    5,122.96x = 10,951,402.24
  5. Step 5: Solve for x
    x = 10,951,402.24/5,122.96
  6. Step 6: Final answer
    x = 2,137.71

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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.