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Finding the Fourth Proportional to 5,735.96, 7,913.82 and 3,217.70

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Solution

The fourth proportional to 5,735.96, 7,913.82 and 3,217.70 is: 4,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.96 : 7,913.82 = 3,217.70 : x
  2. Step 2: Convert to fraction form
    5,735.96/7,913.82 = 3,217.70/x
  3. Step 3: Cross multiply
    5,735.96x = 7,913.82 × 3,217.70
  4. Step 4: Simplify right side
    5,735.96x = 25,464,298.61
  5. Step 5: Solve for x
    x = 25,464,298.61/5,735.96
  6. Step 6: Final answer
    x = 4,439.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.