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Finding the Fourth Proportional to 5,294.42, 7,306.80 and 3,198.50

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Solution

The fourth proportional to 5,294.42, 7,306.80 and 3,198.50 is: 4,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.42 : 7,306.80 = 3,198.50 : x
  2. Step 2: Convert to fraction form
    5,294.42/7,306.80 = 3,198.50/x
  3. Step 3: Cross multiply
    5,294.42x = 7,306.80 × 3,198.50
  4. Step 4: Simplify right side
    5,294.42x = 23,370,799.80
  5. Step 5: Solve for x
    x = 23,370,799.80/5,294.42
  6. Step 6: Final answer
    x = 4,414.23

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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.