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Finding the Fourth Proportional to 3,829.80, 5,744.70 and 3,214.20

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Solution

The fourth proportional to 3,829.80, 5,744.70 and 3,214.20 is: 4,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.80 : 5,744.70 = 3,214.20 : x
  2. Step 2: Convert to fraction form
    3,829.80/5,744.70 = 3,214.20/x
  3. Step 3: Cross multiply
    3,829.80x = 5,744.70 × 3,214.20
  4. Step 4: Simplify right side
    3,829.80x = 18,464,614.74
  5. Step 5: Solve for x
    x = 18,464,614.74/3,829.80
  6. Step 6: Final answer
    x = 4,821.30

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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.