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Finding the Fourth Proportional to 5,193.43, 7,174.52 and 4,493.59

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Solution

The fourth proportional to 5,193.43, 7,174.52 and 4,493.59 is: 6,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.43 : 7,174.52 = 4,493.59 : x
  2. Step 2: Convert to fraction form
    5,193.43/7,174.52 = 4,493.59/x
  3. Step 3: Cross multiply
    5,193.43x = 7,174.52 × 4,493.59
  4. Step 4: Simplify right side
    5,193.43x = 32,239,328.86
  5. Step 5: Solve for x
    x = 32,239,328.86/5,193.43
  6. Step 6: Final answer
    x = 6,207.71

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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.