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Finding the Fourth Proportional to 3,833.15, 5,744.91 and 1,639.30

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Solution

The fourth proportional to 3,833.15, 5,744.91 and 1,639.30 is: 2,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.15 : 5,744.91 = 1,639.30 : x
  2. Step 2: Convert to fraction form
    3,833.15/5,744.91 = 1,639.30/x
  3. Step 3: Cross multiply
    3,833.15x = 5,744.91 × 1,639.30
  4. Step 4: Simplify right side
    3,833.15x = 9,417,630.96
  5. Step 5: Solve for x
    x = 9,417,630.96/3,833.15
  6. Step 6: Final answer
    x = 2,456.89

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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.