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Finding the Fourth Proportional to 5,609.21, 7,740.02 and 3,219.05

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Solution

The fourth proportional to 5,609.21, 7,740.02 and 3,219.05 is: 4,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.21 : 7,740.02 = 3,219.05 : x
  2. Step 2: Convert to fraction form
    5,609.21/7,740.02 = 3,219.05/x
  3. Step 3: Cross multiply
    5,609.21x = 7,740.02 × 3,219.05
  4. Step 4: Simplify right side
    5,609.21x = 24,915,456.59
  5. Step 5: Solve for x
    x = 24,915,456.59/5,609.21
  6. Step 6: Final answer
    x = 4,441.89

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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.