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Finding the Fourth Proportional to 5,944.49, 8,193.96 and 4,683.62

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Solution

The fourth proportional to 5,944.49, 8,193.96 and 4,683.62 is: 6,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.49 : 8,193.96 = 4,683.62 : x
  2. Step 2: Convert to fraction form
    5,944.49/8,193.96 = 4,683.62/x
  3. Step 3: Cross multiply
    5,944.49x = 8,193.96 × 4,683.62
  4. Step 4: Simplify right side
    5,944.49x = 38,377,415.42
  5. Step 5: Solve for x
    x = 38,377,415.42/5,944.49
  6. Step 6: Final answer
    x = 6,455.97

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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.