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Finding the Fourth Proportional to 3,829.40, 5,744.10 and 3,246.20

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Solution

The fourth proportional to 3,829.40, 5,744.10 and 3,246.20 is: 4,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.40 : 5,744.10 = 3,246.20 : x
  2. Step 2: Convert to fraction form
    3,829.40/5,744.10 = 3,246.20/x
  3. Step 3: Cross multiply
    3,829.40x = 5,744.10 × 3,246.20
  4. Step 4: Simplify right side
    3,829.40x = 18,646,497.42
  5. Step 5: Solve for x
    x = 18,646,497.42/3,829.40
  6. Step 6: Final answer
    x = 4,869.30

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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.