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Finding the Fourth Proportional to 5,658.14, 7,805.22 and 3,299.42

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Solution

The fourth proportional to 5,658.14, 7,805.22 and 3,299.42 is: 4,551.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.14 : 7,805.22 = 3,299.42 : x
  2. Step 2: Convert to fraction form
    5,658.14/7,805.22 = 3,299.42/x
  3. Step 3: Cross multiply
    5,658.14x = 7,805.22 × 3,299.42
  4. Step 4: Simplify right side
    5,658.14x = 25,752,698.97
  5. Step 5: Solve for x
    x = 25,752,698.97/5,658.14
  6. Step 6: Final answer
    x = 4,551.44

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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.