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Finding the Fourth Proportional to 3,468.30, 5,202.45 and 3,306.30

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Solution

The fourth proportional to 3,468.30, 5,202.45 and 3,306.30 is: 4,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.30 : 5,202.45 = 3,306.30 : x
  2. Step 2: Convert to fraction form
    3,468.30/5,202.45 = 3,306.30/x
  3. Step 3: Cross multiply
    3,468.30x = 5,202.45 × 3,306.30
  4. Step 4: Simplify right side
    3,468.30x = 17,200,860.44
  5. Step 5: Solve for x
    x = 17,200,860.44/3,468.30
  6. Step 6: Final answer
    x = 4,959.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.