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Finding the Fourth Proportional to 5,202.75, 7,179.84 and 3,342.99

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Solution

The fourth proportional to 5,202.75, 7,179.84 and 3,342.99 is: 4,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.75 : 7,179.84 = 3,342.99 : x
  2. Step 2: Convert to fraction form
    5,202.75/7,179.84 = 3,342.99/x
  3. Step 3: Cross multiply
    5,202.75x = 7,179.84 × 3,342.99
  4. Step 4: Simplify right side
    5,202.75x = 24,002,133.32
  5. Step 5: Solve for x
    x = 24,002,133.32/5,202.75
  6. Step 6: Final answer
    x = 4,613.36

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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.