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Finding the Fourth Proportional to 5,782.69, 8,665.73 and 2,857.58

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Solution

The fourth proportional to 5,782.69, 8,665.73 and 2,857.58 is: 4,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.69 : 8,665.73 = 2,857.58 : x
  2. Step 2: Convert to fraction form
    5,782.69/8,665.73 = 2,857.58/x
  3. Step 3: Cross multiply
    5,782.69x = 8,665.73 × 2,857.58
  4. Step 4: Simplify right side
    5,782.69x = 24,763,016.73
  5. Step 5: Solve for x
    x = 24,763,016.73/5,782.69
  6. Step 6: Final answer
    x = 4,282.27

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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.