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Finding the Fourth Proportional to 5,193.18, 7,174.17 and 4,493.34

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Solution

The fourth proportional to 5,193.18, 7,174.17 and 4,493.34 is: 6,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.18 : 7,174.17 = 4,493.34 : x
  2. Step 2: Convert to fraction form
    5,193.18/7,174.17 = 4,493.34/x
  3. Step 3: Cross multiply
    5,193.18x = 7,174.17 × 4,493.34
  4. Step 4: Simplify right side
    5,193.18x = 32,235,985.03
  5. Step 5: Solve for x
    x = 32,235,985.03/5,193.18
  6. Step 6: Final answer
    x = 6,207.37

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Why These Related Problems?

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