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Finding the Fourth Proportional to 5,562.14, 7,675.97 and 3,323.50

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Solution

The fourth proportional to 5,562.14, 7,675.97 and 3,323.50 is: 4,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.14 : 7,675.97 = 3,323.50 : x
  2. Step 2: Convert to fraction form
    5,562.14/7,675.97 = 3,323.50/x
  3. Step 3: Cross multiply
    5,562.14x = 7,675.97 × 3,323.50
  4. Step 4: Simplify right side
    5,562.14x = 25,511,050.49
  5. Step 5: Solve for x
    x = 25,511,050.49/5,562.14
  6. Step 6: Final answer
    x = 4,586.56

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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.