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Finding the Fourth Proportional to 5,408.25, 8,113.17 and 1,709.64

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Solution

The fourth proportional to 5,408.25, 8,113.17 and 1,709.64 is: 2,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.25 : 8,113.17 = 1,709.64 : x
  2. Step 2: Convert to fraction form
    5,408.25/8,113.17 = 1,709.64/x
  3. Step 3: Cross multiply
    5,408.25x = 8,113.17 × 1,709.64
  4. Step 4: Simplify right side
    5,408.25x = 13,870,599.96
  5. Step 5: Solve for x
    x = 13,870,599.96/5,408.25
  6. Step 6: Final answer
    x = 2,564.71

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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.