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Finding the Fourth Proportional to 5,193.23, 7,166.60 and 3,202.99

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Solution

The fourth proportional to 5,193.23, 7,166.60 and 3,202.99 is: 4,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.23 : 7,166.60 = 3,202.99 : x
  2. Step 2: Convert to fraction form
    5,193.23/7,166.60 = 3,202.99/x
  3. Step 3: Cross multiply
    5,193.23x = 7,166.60 × 3,202.99
  4. Step 4: Simplify right side
    5,193.23x = 22,954,548.13
  5. Step 5: Solve for x
    x = 22,954,548.13/5,193.23
  6. Step 6: Final answer
    x = 4,420.09

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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.